I had a couple of football sized koi that loved getting rubs on the ridge on their “head”. I also had a tortoise who loved head pats, she was a weird one though. Seemed far more social than any tortoise I’d met before. It was both adorable and terrifying to see her tear ass when I’d visit in the morning. It wasn’t that she was fast, she just didn’t care who or what was between her and I.

I’d rather not give them even that level of attention.