The GPD appears to be using the internal intel gpu, which for running X11 debian/gentoo/etc should be okay. The screen size is a bit tight (1280x720) but exceeds the worst case situation (1024x600, which occasionally clips some things in XFCE). I would guess this should be something we can <-hack->
Putting an HDMI screen in my pocket is still a hardware issue I have not quite found a (comfortable) solution for...