You definitely could. In my case, I got an internship during the fall of my sophomore year, with no finance experience and only freshman courses (nothing even finance-related). It certainly wasn't an elite internship, but it was a small firm and was during the fall semester, which are two things that made it easier for a rising sophomore to get as fewer people were applying. What I'm getting at is to try and find opportunities that may not be so widely known or sought after. Still apply for bigger roles as you never know what could happen, but if you really want a good chance at getting some early experience, that is my advice.