I believe it should be able to work with x86! We're still working out some sort of build process so we can make more builds (like for linux), but at the moment we only have reliable testing/building environments with Windows (x64) and Mac (all the current devs mainly use Macs).
In the meantime, and if you feel comfortable doing so, you could try building OGMO yourself - we have all the instructions here: https://github.com/Ogmo-Editor-3/OgmoEditor3-CE