Can you breed a panda bear with a polar bear?

No. Panda bears, though they were reclassified a few years ago as members of the Family Ursidae, to which polar bears also belong, diverged from all other bears ~30 million years ago. Panda bears and polar bears are on the furthest branches of the Ursidae phylogenetic tree. read more

Species and subspecies of bear known to have produced offspring with another bear species or subspecies include brown bears, black bears, grizzly bears and polar bears, all of which are members of the Ursus genus . read more

You can breed a polar bear and a brown bear and get a fertile offspring. You can not breed black bears and polar bears successfully. read more