Is it normal to get urges to bite your dog when playing rough?

I don't know if this is normal. Probably not, but I have had urges to bite my cat many times. He's so cute, assed out on the floor by me right now. He also bites and does this thing where he latches onto a body part of mine with his front paws and kicks like a rabbit with his hind legs. I have softly bitten him before, no teeth, like an old person without their dentures. I mostly bite my boyfriend. Everyday. Idk why. I get strong urges to bite his biceps mostly, any body part will do, but his biceps are the best to chomp down on. He doesn't really like it, but it doesn't bother him too bad. Something is so satisfying about sinking my teeth into his flesh.