If they have a Remora like that one, and Bobcat jumped in, the Remora would probably leave the shark and attach to Bobcat!
But Nurse Sharks are pretty docile. There is a place we used to snorkel on Little Cayman where they hung out under the coral heads a lot. We'd get within 4 or 3 feet and take pics, but never tease them or touch them. Every person I've ever heard of bitten by a Nurse Shark were doing one of those 2 stupid things.