Silly question for semantics, but then you can’t “murder” an animal. Just kill it, I would assume?
NO, you can't. Not in OT Jewish Law, not in American Law ... Not sure about the Hindus and cows ...
Walk in to your town's police station with a dog and a knife, and hack the dog's head off in front of all the cops. You'll be arrested and charged, for sure but the charge won't be "murder". Animal cruelty is the most likely charge.