It's likely possible to even run Windows on this machine.
I personally have little interest in the Pixel based on the specs. I think X86 is excessively 'big iron' now for a majority of needs and I find the lack of USB3 is mystifying. The screen looks interesting, but it's nothing I actually /need/ and certainly not worth another thousand bucks. I've personally taken to just using X86 for storage/cross-compile servers for the rest of my cheap ARM/MIPS/etc. crap and I've made it a point to stop buying expensive hardware. What $250 buys you now is actually pretty ridiculously awesome.
* Drop Crouton[2] onto Chromebook to get a full dev stack and unfortunate Ubuntu/XFCE environment.
* Set up chroot and start building other people's crap.
* Write to SD Card/internal storage and reboot.
Which step here is hard? Tedious to roll your own I'd give you, but you don't even need to as there's stuff like ArchLinuxARM[3] which skips the middle two steps.
[1]: https://sites.google.com/a/chromium.org/dev/chromium-os/deve...
[2]: https://github.com/keyboardsurfer/Crouton
[3]: http://archlinuxarm.org/platforms/armv7/samsung-chromebook