Yeah, you could probably find someone to buy it. Check your state laws first though. Bears have more regulations than most furbearers. Also, I don't know if anyone would buy the skin green. You'll probably have to pay the taxidermist to tan it for you anyway.
But don't try to tan it yourself if you've never done it. It takes practice to get the recipe right and it's slightly different for different animals. You don't want to ruin a bear skin.