I can definitely see something like this being feasible. Difficult, but feasible.
Sending SMS from a server is easy, and relies on the fact that most carriers have email-to-SMS mapping done. It's the SMS-to-server that gets difficult, and requires a SMS gateway.
But supposing this was overcome, such a text message should be short and precise. The following sample contains the next match time at Atlanta (this would be the two or three letter abbreviation for each regional/division), the current team ranking, and the current event and entire season results.
Team 0000: Up next: ATL 15:30; Ranking: ATL 16 of 80; Results: ATL 0-0-0, SEASON 0-0-0
Edit: Oooo, code.
http://playsms.sourceforge.net/