Firewall and Torrent

I use my university internet network and all incoming connection is blocked on every port.(they use netasq firewall) They have no other restrictions which stops me from using a torrent client. Using torrent is NOT against university network policy but they restrict all incoming port just for security reasons.

Is there any way, I can use torrent in this situation?

can VPN be a solution here? (I understand VPN very little but I think it won't work)

can SSH be a solution?

Mainly, I need to know, can torrent work if all incoming connection is blocked? Is there any way to initiate the session beforehand so that I get a open port in NAT table?