Does a cat in heat drag their back end?

Yes, that's a common behavior for a cat in heat. They will often drag their rear end across surfaces (like carpets or furniture) to spread their scent and attract potential mates.

This behavior, along with others like vocalizing loudly, rubbing against objects, and adopting a "lordosis" posture (arching their back and presenting their hindquarters), are all part of a cat's mating ritual.