Not likely at all. We'd need someone to write an open source engine for it first. So far the only one out there is TiaraCE but I don't think it's functional at all yet. Project is less than a year old, and hasn't had any new commits since March, so I think it might be dead.
You'd probably be better off finding Halo maps that have been re-created to run in an engine that has already been ported, like DOOM, Quake 1, or Quake 2.