It can run Unreal Engine 4, so if you ported CryEngine to Power+Linux, it probably could.
Without that, you’d probably need to be running on top of x86 emulation and WINE which would likely be too slow.
Edit: It’s funny that you mention it though; one of the talks on POWER9 linked in the Power Architecture thread actually had someone ask about Crysis as a joke. It went a bit over the IBM people’s heads.