I’ve had 10 interviews with a bank. Does everyone have to like me in order to get an offer?

It depends.  At some banks, if you get negative feedback from even one person with whom you’ve interviewed, you won’t get an offer.  At other banks, 8 or 9 “yes’s” will be enough to outweigh 1 or 2 “no’s,” provided that the “no’s” aren’t very strong and aren’t coming from the most senior bankers.  Occasionally, the opinion of the head of the group can be enough to get you an offer, regardless of the other feedback.  Unfortunately, you will never know the dynamics of the situation when you interview so the best advice is to take all of your interviews seriously.