Definitely. If Canada Post got into banking, one thing they could try to provide is a lower interest rate when it comes to specific bank accounts and things like that.
Nowadays, if a person wants to open up a bank account, one thing that hits them is that sometimes there are hidden fees or taxes on fees, depending how much you use the bank. There are also steadily increasing fees when you use at an ATM or go into the bank to withdraw money.
One thing postal banking could do is offer cheaper, more competitive rates for a community user to come in and use their ATM or a bank service.