Correct me if I’m wrong, but I think the only pet mentioned in the Bible was the poor man’s little ewe lamb, in Nathan’s parable to David, which “was unto him as a daughter” (2 Samuel 12: 1-7). And of course the story wouldn’t have made any sense unless people in ancient Israel sometimes kept a favorite lamb as a pet.
I’ve never had a little lamb, but it’s easy to see the appeal. I wonder if they can be housebroken.