In my university freshman year, I looked into the possibility of starting a team affiliated with my university, however I ended up abandoning the idea. It would have been a heavy undertaking that I would have needed to juggle with school work, and I wasn't quite certain that I could pull it off. I ended up joining 865 to help them out in my free time in my second year instead.
While I definitely recommend that you try to make the current team work, if you are dead-set on this then talk to your regional director to see if there is any interest in your area for a new FRC team. Also, FIRST has some information that you can look over to make sure that you understand what needs to be done
here.