The reason why I ask this question is because nuclear energy is fission or fusion of particles, so solar energy (which is fusion) is actually nuclear energy obtained at a safe distance. We only call it "solar" because it comes from a star or another emitting object.
Yes, the Sun's energy ultimately comes from fusion of Hydrogen into Helium in its core (via something called the p-p process). So one could certainly say that the Sun's energy is "nuclear" in nature.
One could note though that the original energy source to get the Sun's core hot enough to ignite fusion is from gravitational potential energy - so there's parts of the energy which doesn't come from a "nuclear" source but from a gravitational one.
It is nuclear power, but I would not call it a safe distance. Short term over exposure can cause painful acute burns. The radiation is intense enough to damage eyes with quite short exposures. Chronic overexposure can lead to increased incidence of cancers.
Of course, none of those are due to nuclear radiation. That is all simply exposure to thermal black body radiation. The only significant nuclear radiation reaching us is the solar neutrino flux which would not be harmful at any distance.