Can I sue a caterer in PA? I live in NJ. Contract was with daughter.I payed for service.

You question will depend on a lot more facts that you haven't provided.  was the service provided in New Jersey?  Does the caterer have sufficient contact with the state of new Jersey that you could sue them in New Jersey?  If the caterer is in PA and the service was provided in PA then you would have to sue them in PA.  If however, the service was provided in NJ, you could sue them in NJ.  You should also look at the contract you signed, if there is a contract, and find out if there is anything in the contract about resolving disputes, and what state has jurisdiction.  Good Luck !!