I can make you a pog that does that, yeah. It's just a matter of writing it on the pog.

I can make you a pog that bans you from a club while you hold it too, for the bored apes example. Generally a bouncer will remember you when you come back the next day without the log though, which is a slightly better ban than NFTs can handle

What I can't do is make a pog that burns your house down when you try to sell it or give it away. That's a feature unique to NFTs afaik