What exactly do you mean? Like a distro that just works well on a phone? Yeah proper Linux phones aren’t quite there yet.
But any of the commonly recommended distros work out of the box on PC at this point, there’s less fiddling than with windows at this point in my experience
Back in the early 2010s there was this cloud gaming service called OnLive which I thought was actually pretty neat. I played a couple action games and there wasnt really any noticeable latency. Idk what kind of wizardry they use but for most games they can probably make it work.
Of course rhythm games and fighting games specifically will probably never be playable through streaming, but those are basically unplayable at anything but the highest possible performance.