1. If you’re old enough to be at a university, why do your parents still have control over who you’re dating? You should be able to have independence in that area. This is your life, not theirs. As for your last question, of course it’s possible. There are relationships that break up and get back together up to ten times and still work out somehow.
2. You shouldn’t be jealous of anyone’s relationship. You’ll have the exact same thing someday. :)
3. Trust me, you will regret that decision if you transfer just to be with him. If you break up, then you would’ve sacrificed a great opportunity for one not so great. If he ends up being the one you’re going to marry, then it will work out fine even if you stay far away from him. So either way, the better decision is to stay at your school.