can a ps1 game made for psp be run on pcsxbox?

i want x com ufo defence for my xbox, i already have it for computer (3 versions) but i remember the ps version to be slightly different, i located it on a torrent, but the file says its been edited for psp... i dont want to upgrade my psp to custom firmware, when my xbox plays ps1 games just fine. This game is hard to find, so im gettin the psp version (slowly, very few seeds) but im unsure if itll work on the xbox. anyone know?? or know a place i might locate this rarity that would be great!

Good question, I dont know. You can't find the ps1 iso anywhere? Maybe you can find the original game on ebay for cheap.