Breaking into IB (Graduate with finance major, no IB internship)

So here's a little background of myself.

I graduated with a decent GPA back in June from a target university. Initially, I wanted to do AM but I have done a little bit of research on IB, and I am definitely more interested in IB. The problem is that I don't have any IB internship, not even from the boutiques, just a couple, related to accounting and consulting.

Well, I know I should have applied for banking internship when I was in college. And I really regret not doing so. I guess I can only look forward now. My question is, do I still stand a chance of breaking into IB? I have thought of a few alternative options.

Firstly, I might look at off-cycle internship at either BB. But the chance is pretty slim, especially when the priorities are given to undergraduates and I got to secure one, within a year after I graduate. Secondly, I will try to apply for boutiques.

Could you guys please provide me with some advice? I would appreciate any help. Thanks.