I don't think so.
Assume they play either Mich or Ohio St in the Big10 championship and beat them, its likely the committee would still pick their opponent over them.
They would also have to picked over at least one of these.
Fla St.
Georgia
Wash/Oreg (Pac12 winner)
Texas (Likley Big12 winner)
and if Bama wins SEC title game, we could still see two SEC teams.