No. Here is my dream scenario (that doesn't involve the Canes going undefeated).
We lose to FSU, but beat them at a neutral site in the championship game - both 1 loss.
TAMU (or LSU) run the table, and beat UGA in the championship game - both 1 loss.
Washington drops a game, but beats USC - both 1 loss.
Michigan beats OSU. OSU beats Penn St. Penn St. beats Michigan in the championship game. Two of those teams have 1 loss.
UT and Okie do an FSU/Miami situation - both 1 loss.
People's heads will explode. It's also a scenario where no SEC goes, since their conference champ might have lost to the ACC champ.