This is a tough subject because most of us here work in the I.T. industry as network administrators or systems analyst's which it is our job/responsibility to keep our networks secure. They have firewalls and ports blocked for a reason not really to prevent you from enjoying the internet experience, but to keep the network secure.
Can it be done? Yep it sure can, but as mentioned they will EASILY track you down and cut off your internet connection. So basically it comes down to do you wish to use the bit torrent client until you are caught and have no internet at all for the rest of your school term or have the internet for the rest of the school term and have no bit torrent client.