To expand upon John Darby's excellent answer with regards to Chernobyl specifically, where actually, to answer the original question, there is a school of thought that it might have done!
John writes:
The explosions at Chernobyl were a steam explosion, and a chemical
explosion caused by oxygen reacting with aerosolized graphite.
It is my understanding that there is some degree of scientific debate still ongoing about this, which is relevant to your original question. I am going to put forward another hypothesis on the origin of the first explosion mentioned here. It is not mine – and nor am I wedded to it – and there is a chance that it has subsequently been disproved. That being said…
These two explosions were witnessed by several eyewitnesses -- both at the plant and fishermen elsewhere. These explosions were both large, and the second, and largest, occurred a couple of seconds after the first. The first one is widely believed to have been a steam or vapor explosion where the energy in the hot cooling water together with the energy generated across the reactor core pressurized the steam pretty much instantaneously and to such a degree that it catastrophically failed while under load. Some authors estimate that the power of the RBMK reactor went up a factor at least 100 over its design value of 3.2 GW (thermal) for a few seconds. The next explosion is often described as a hydrogen explosion, where water present is hydrolysed by the extreme temperatures and pressures present by the zirconium fuel rod cladding, producing hydrogen and oxygen (which then subsequently exploded, and set the graphite moderator on fire).
However, some authors have posited a "nuclear jet" hypothesis that corresponds to this initial explosion being a prompt criticality event proper, and the second explosion being a chemical one. The main evidence for this hypothesis, first posited in 2009, comes from the geographical location of two radioisotopes of xenon, $^{133}$Xe and $^{133m}$Xe, which were experimentally detected at Cherepovets (a Russian city 370 km north of Moscow and 1000 km north-northeast of Chernobyl) about four days after the explosion. These xenon isotopes have a half life of 5.24 days and 2.19 days respectively; in "ordinary" reactor fission their ratio can be estimated through Monte-Carlo simulations, in which the fission process is modeled computationally. It's worth noting that these types of simulations are very well regarded; in my professional work (as a medical physicist) there are two packages that are largely used, MCNP4 (which requires an export license from the US government, claims to have a million man-hours of programming behind it, and, I believe, handles fission excellently) and Geant4 (which, being written by CERN and released to the world as open-source software, doesn't).
The three authors of this paper, from the Swedish Defence Research Agency, Meteorological and Hydrological Institute and Stockholm University, have done this accurately for the RMBK reactor type used in Chernobyl and have estimated a branching ratio for these two isotopes under differing power levels and thus what might be expected to be present within the reactor. The authors furthermore claim that the code used to produce this estimate is experimentally validated. Below are the expected branching ratios for thermal neutron fission in the reactor:

The authors then have the ability to try different scenarios in the distribution of the reactor core, and look at the production of $^{133}$Xe (or $^{133m}$Xe). One of the scenarios they examined is that one reactor rod had a prompt criticality incident and produced a nuclear explosion with an energy release equivalent to 75 tons of TNT. The reactor is destroyed in this process, and the ratios of the two isotopes then decay back towards equilibrium:
.
Now, the interesting thing about this is that the ratio experimentally detected in Cherepovets happens to line up almost exactly with this scenario, and it is claimed that it is not possible to easily explain it any other way, given the known time delay between explosion and detection, and the unambiguous determination of the isotopes (via gamma-ray spectroscopy):

The authors of this work also claim that another significant piece of experimental evidence comes from the curious fact that Cherepovets is far to the north/northeast of Chernobyl, yet the majority of the fallout and dispersed isotopes was observed went to the west and northwest, causing (famously) "radioactive sheep" in Wales, amongst other issues en route over Scandinavia. We have got a lot better at weather forecasting since the late 1980s, and again the authors of this work use historical observational data and modern models to simulate what may have occurred. They claim that a these simulations show, as a function height, that a significant fraction of the large amount of liberated radioactive fission products at low altitudes would head northwest toward Scandinavia but, at higher altitudes made a sharp turn back east around the Gulfs of Riga and Finland. This would permit them to explain the geographical distribution of $^{133}$Xe/$^{133m}$Xe that matches with the measurement made in Cherepovets, by having a jet of nuclear material reaching about a 3 km altitude:

Finally, the authors make the (to me, far less proved) claims that this hypothesis explains the observations made by eye of the two explosions:
[...] a witness that was out fishing on the cooling pond some 500 m away
from Block 4 when the accident happened. He heard a large clap
followed by an explosion. Then, in a couple of seconds he saw a bright
blue flash that was followed by an enormous explosion. It is well
known that criticality accidents emit a blue flash, or rather glow,
which derives from fluorescence of excited oxygen and nitrogen atoms
in the air [and perhaps Cerenkov radiation].
[...]
[After the second explosion ] with the fuel fully exposed, the
air was irradiated, and the typical blue glow was lit. An
employee of the power plant, Alexander Yuvchenko,
has described how he and a colleague “ran out of the
building and saw half of the building gone and
the reactor emitting a blue glow of ionized air.” But,
the flash observed by the fishing man was a bright blue
flash before he heard the second explosion [and before reactor products were directly exposed to the air].
The authors make the argument that this blue flash has to be nuclear, unlike a blue glow, which may be thermal:
[As a steam] explosion would not create a flash, an explanation could be that
the surface of the jet peeled off some hot material to the air and/or
that the jet with a temperature of several tens of thousand degrees
heated a column of air around its track. Within a few seconds that hot
material would cool down through the temperature interval around
7000°K, where for a short time before it cooled down further, it would radiate blue light by blackbody radiation—a blue flash, not a glow
So, there you have it. One (admittedly small) potential for an (admittedly small) nuclear explosion in the worst nuclear disaster in human history.
Maybe.