It would have to be some pretty major chaos.

1) Need Cincinnati to lose
2) Need Bama to lose today and to UGA,
3) Need the winner of the Oklahoma Oklahoma State game to lose their conference championship and probably need Baylor to lose today
4) Notre Dame to lose to Stanford
5) Need winner of Michigan Ohio State to lose in the conference championship

If all those things happen, Ole Miss might have a chance to back in. Other than that no chance