I was driving home from an appointment the other day, and while stopped at a traffic light I happened to look over at the van next to me. It was a commercial van for a Canine and Equine Massage service. Okay, I know I can be oblivious, but I had never heard of that before and thought that was really cool! It makes sense that if massage helps relax tight muscles, improve circulation and ease pain in humans, that it could also work in animals. And there are actually people trained in it! Who knew? (Okay, I didn't).
It seems like those therapists are usually for dogs and/or horses, but there are small animals massage therapists out there that work on cats, too. Here are two organizations that can help you find one in your area:
http://members.iaamb.org/users/http://www.nbcaam.org/member-listing