All new-ish games do, yes.
That being said, you're going to end up SERIOUSLY regretting it if you buy a 4K monitor right now. Currently they have a plague of issues, require two graphics inputs, are slow and have very bad response times, and are silly expensive.
Doesn't it make a lot more sense to wait a little while until the tech has matured and you can get a 4K monitor for less money that works far better? Especially since then you'll be able to afford the graphics horsepower to game at that resolution as well?