If your question is if it is possible (in general) to go to college then the answer is yes. It is really up to you and how motivated you are. Anyone can do anything they want if there is enough motivation and drive.
If your question is if it is possible to go to college because of magic, no. There is not a university or college where there is a "magic" major. But if you really would like to make magic your career there are classes and majors in college you could consider such as Psychology.
Magic is deeply routed in misdirection, misdirection and psychology go hand in hand. Psychology is the study of why we do what we do. Misdirection is the ability to make someone look at point A when you are hiding something at point B. Why will people look where you want them to?
Psychology is an area of study you may want to consider if you are interested in questions such as the above mentioned one or if you are interested in other aspects of life. It will greatly help you in magic as well as general day to day living.
Perhaps you would want to take a theater class or become a theater major. For obvious reasons, this would greatly help a magician.
I suggest doing what any professional magician, parent, school teacher, or any other authority figure will tell you: Go to college. Even if you want to do magic for the rest of your life, one can take classes to enhance their magic, and if anything have a degree to fall back on if magic ceases to interest you or you cannot make a career out of it successfully.