No idea how this thread got under my radar (there aren't that many lol) but it's not yet two months, so I'll put in my two cents' worth. If by "the Doom game for xbox one" you're referring to DOOM (2016), then no, that is not possible, as it uses a vastly different game engine. Chex Quest was based on the original Doom from 1993, though, and since Doom (1993)'s source code was released it has been compiled to work with pretty much every platform under the sun, (and Sun's Solaris lol). Surprisingly, though, there are no source ports of Doom for modern consoles (except the Switch, but that thing's really just an admittedly fancy tablet.) This means that you can't run Chex Quest on them, but there is at least an Xbox 360 version of Doom that I think can run on the XBOne, just without mods like Chex Quest.