Realistically, no.
Theoretically, if we were to win it would be hard to fire him this week since we didn't fire him after the USC loss. we would be the first unranked team to beat Saban in like 5 years. It would be the first time we beat Bama in like a decade (ish). It would mean Butch has beaten every rival at least once.
It would also require a borderline miracle.