If you spent enough time and energy on it.. I'm fairly confident you could get the newest Ubuntu running. You'd have to build your own kernel, manually generate the initramfs, figure out how to and then flash it. You'd probably run into stupid little problems like the partition table the flash script makes doesn't allocate enough space for the kernel you've built.. I'm sure there would be hiccups, at the very least, but everything's out there to do it.
(I guess we can put aside the issue of Nvidia's closed source graphics drivers for the moment)