Is it possible to build for i686 CPUs?

[gratejames]

Not really sure how buildroot works, so this might be a bad question, but is there any way to build the project for this CPU? I'd really like to be able to turn an old Toshiba (Pentium M) into an interesting python workbench rather than a useless relic.
The error I get when running the pre-build ISO is 'This kernal requires an x86-64 CPU, but only detected an i686 CPU.'

Edit 1: Bodhi Linux

Edit: I tried running wm.py on the laptop running bodhi linux, and got a black screen that I couldn't escape with the default cursor. On ubuntu-server 17.01 I get 'No available video device' - is there a way to configure ubuntu server to run this by installing some packages, or will it only work on the iso you've provided? - Python 3.6.?

Edit 2: Lubuntu

Edit 2: Ran it on lubuntu 18.04, the screen flashes momentarily, but there's no errors. I figure it's a RAM limit, and the best solution is to not run a desktop underneath it. I've only got 751MB of RAM after all... :) - Python 3.6.9

Edit 3: Lubuntu: Minimum working example

Edit 3: Kinda got it! It's something to do with the way pygame fullscreens the wm. Even calling pygame.display.toggle_fullscreen() closes the window. However, F11 works as expected. This is running on top of X still though...