Yes. They are both Syrian hamsters, they're just different colors. The "bear" names are just fancy names put on common coat colorations to make them seem like something special and entice people to buy them for more money than they are actually worth. What you actually have, in real hamster terms, is a black Syrian hamster and a Black Banded or dominant spot Syrian hamster.
So, since they are both Syrian hamsters, the answer is yes, they can breed.
Should they be bred?
No.
They are probably not of breeding quality stock, especially not if you purchased them from a pet store.
Also, keep in mind that Syrian hamsters can have up to 20 babies per litter. Are you sure you can find homes for 20 hamsters before it's time for them to go (4 weeks)? If you can't find homes for 20 hamsters, do you have the space to keep them all housed one per cage? (Becuase, as I'm sure you know, Syrian hamsters are not social animals, and should not be kept together in cages.)
Also - Syrian hamsters will fight if they are introduced together and the female is not in heat. Fights can turn deadly in the blink of an eye. Do you know how to tell if your female is in heat? If not, are you prepared to let one of them die in a fight, or get severely bitten yourself trying to separate them?
Breeding is not something to be taken lightly - you will be responsible for LIVES, LIVING BREATHING BEINGS, not toys.