the nurses grow to like 3m (10ft), so no. and wobbegongs are known to eat everything that moves (i.e your coral cat) the Brown-banded Bamboo is your best bet for a friend for your coral. altho a member on another forum recently had one of his Bamboo pups kill a coral cat pup.
How big is your tank? if you can find them Arabian Bamboo, White spot bamboos, Marble catsharks and Papuan epaulettes could all be suitable tankmates