Tetris has always been historically defended in a very aggressive manner when unlicensed clones had come about. ChatGPT can write Tetris in a single response. This is an interesting legal situation.
Every time I learn a new programming language I often write Tetris as my first "hello world" type program and yet Henk Rogers' shock troops have yet to find me, I'm sure anyone who asks the same of ChatGPT will be similarly just fine unless they try to publish the result under the name Tetris, whereupon they would be quite rightly set upon for infringing the trademark. I don't know if the fundamental game design however is trademarked in some way as there are many OSS packages that implement the same game design such as Ltris, Petris and so on. Perhaps the problem only appears once it is copied and used for commercial purposes.
Umm, no it can't. I understand your general question, but ChatGPT isn't capable of creating a finished, graphical game that looks like Tetris in "a single response". It would take many interactions, refining, correcting and adding to the queries, maybe.
But even if ChatGPT could produce something that the Tetris people would be concerned about, they wouldn't sue ChatGPT but the ones offering the code (free or otherwise) to others. So the legal situation is pretty much unchanged.