Yes you can run proton-ge or proton with lutris. Glorious Eggrole though highly recommend against doing so since proton-ge is an optimized proton version for steam, that’s why there is wine-ge for non-steam games or applications.

Source: https://www.reddit.com/r/linux_gaming/comments/uzrz2k/a_thread_about_using_protonge_and_winege_builds/