Is it possible to pivot into investment banking at the age of 35?

I'm an Asian international student, and I will be 35 by the time I graduate.

My previous career has been in the government sector, so it’s not highly related to finance or investment banking.

I’m currently deciding between Haas, Anderson, and Marshall, and I’m aiming for an IB position on the West Coast.

Realistically, do you think this is feasible? I've heard that IB generally prefers younger candidates.