No known cure. However, since this disease can go into remission, you'll hear a lot about different "cures." Some people just find ways to avoid their flares; other people just get very lucky.
Since there is currently no research specifically for curing PR, I don't think a cure is likely at this point. But, since PR has a lot of similarities with RA, if they find a cure for RA maybe we'll get lucky and it'll work for PR, too.