Yep, it can happen. I’ve had experience with it in Canada, at least on the flip side of things.
Twenty years ago, one bank’s ATMs used to dispense both $5 and $20s depending on the amount selected. One day I used one of their machines to request $20, and instead of four $5 bills, I received four $20 bills. So, what to do?
The posted notice indicated that if there were problems with the ATM machine, a branch located several kilometres south should be contacted. So, off I go to that branch. When I got there, I explained my little story. Instead of them taking the money from me, I was told that they couldn’t take the cash back from me at that branch, and instead I would have to take it back to a different branch, several kilometres to the east!
Being young and foolish, instead of dumping the money on them and leaving, off I went. I took the surplus $60 into the bank, and went through my story again. The teller left to confer with someone else, presumably on what the appropriate procedure would be. Several minutes later the teller comes back to confirm, yes, they can take the money here.
At the end of all of this, I didn’t even get either a thank you or an acknowledgement of the trouble I had take in returning their money to them. The attitude instead was very much that I was inconveniencing them. Need I add they are not my bank now?