It does for everything but the touch display because it doesn't have one[0]. We don't support the three buttons at the bottom but I have two ESP BOX Lites and we should be able to make it happen pretty easily.
We haven't been focused on the ESP BOX Lite because it seems kind of limited. However, Espressif hasn't sold many of these things since release and judging from people looking for stock, etc in this thread I think that's about to change.
Espressif has incredible manufacturing capacity and our hope is they will ramp up manufacture of the ESP BOX family now because (to my knowledge) Willow is the first project that actually makes meaningful use of them.
The only gaiting component of the ESP BOX family that I can see is the plastic enclosure. I'm sure Espressif can figure out how to crank these things out ;).