Sure, you can probably tame a wild squirrel and it could live out its halcyon days in your backyard, retrieving acorns tossed toward the garage. But we are talking about ownership—-i.e., the right to bring a squirrel into the house and family.
Max knew enough already that it was a felony to kill a bald eagle (at least on purpose), but what if you killed one in self defense? Would that be illegal? What about killing one in a “stand your ground” state?