College, professional, or pee wee?
Firstly, I'm sure to have even the faintest shot at any of them you'd have to be state certified. Secondly, most teams and organizations have all medical services pre-contracted out to whatever service has an agreement in place with them. It's not really a "whoever is around come on up" kind of deal. If you really, really want to do it, find what company provides services for that team, move to the state, apply for a job there, and see what happens. Keep in mind too that many people for most of these companies want to work these fun and glamorous positions so it's often based on seniority to determine who gets to work the cool positions. Overall, I would say chances are pretty poor.
One other thing is that the contracted EMS service is mainly there for spectators and the crowds at professional events. Sport training staff and team physicians deal with the routine stuff on players and EMS only gets involved for transport if things are very ugly.