Yes, if your anxiety and depression are under control with medication and you have a plan of action for what to do if they become an issue again, I think you’ll be fine. Many, many Wellesley students struggle with the same thing. I did too, and I currently keep my anxiety and depression in check with medication. Before you leave for school, talk to your doctor about what you’ll need to do to to stay healthy during college. Do you know of a therapist in the area who can work with you during the transition to college? That’s something to consider before moving.
Anyway, feel free to PM me if you want to talk more.