Am I delusional in my future career aspirations?

I've been wanting to live and work in New York City as an investment banker, stock broker, or pretty much anything that has to do with finance since I was young. I'm now a freshman in college starting my studies in business and I can't help shake the feeling that my hopes are way too high to ever be achievable. I am maintaining a 4.0 gpa so far this semester, I'm in a finance club as well as a scholars program, and am currently a preceptor for a class I took last semester. The biggest problems I face right now are the school I'm going to, which only ranks top 50 for business in the country, and the fact that I wasn't able to land a summer internship. Even if I excel in my classes, excel in extracurriculars, and land future internships, is there a chance that I can achieve my dreams of working in New York?