This happened to me once, in reverse. A mailman had my same surname and was from the same town as my father.
He really was interested in finding out if we were somehow related, but I was, like, "buddy, I worked night shift, please, let me sleep".
He was a bit disappointed in my reaction, and I still think about it. I don't know where you are now, random maybe-distantly-related mail buddy, but I want you to know that I'm sorry and I wish you the best.
I used to drive a white 1997 Crown Vic police. I'm on the highway one Saturday morning on the way to a work site, and I am passing a black Firebird. As I pass, I look over to see it's being driven by a uniformed state trooper.
It's a fully outfitted undercover car, and he pulls me over. I tried to make light of the situation, a "normal" car pulling over a "police" car. The officer was not at all impressed.
If anyone can make the joke, yes. If it requires obscure circumstances to work, like the other person having a complementary name and hometown, probably not.