Yes.
Hawking radiation is universal: the black hole is a modification of spacetime geometry, and the quantum fields, which manifest particles, are residents of that spacetime. Thus they are all affected by its presence (i.e. it "couples to" all those fields), and hence any and every physically possible particle can appear in the Hawking radiation from the black hole, at least supposing that all existent particles follow the laws of quantum field theory.
That said, that doesn't mean they are all emitted equally easily: for sufficiently massive particles, a suitably-hot black hole is needed or else the emission of the particle species in question is at the very least extraordinarily unlikely. This means that the black hole must be suitably small in mass, because the radiation temperature is inversely related to the black hole mass, and hence very massive particles will only be produced in the very last stages of the black hole's decay.
Hence, indeed dark matter will be emitted, but just when will depend on how massive dark matter particles are, or aren't, which is something we don't know yet as we haven't indisputably seen one. That said, the lightest (still unconfirmed) dark matter candidate is the axion, with projected masses of 10-1000 μeV. However, any present-day black hole we know of is so massive and thus "cold", that even this very light mass is still well above the typical particle energy available to it. All other proposed candidates are much heavier; and so the result is dark matter will with near-certainty not be emitted in significant quantities until the very late stages of the black hole's evolution (And neutrinos, by the way, are even heavier than axions, around $10^5$ μeV).