The PAC-12 has affiliations with bowls that pit us against:
1. MWC or BYU (Vegas Bowl)
2. ACC/Notre Dame (Sun Bowl)
3. Big 10 (Foster Farms)
4. Big 10 (Holiday)
5. Big 10 (Rose)
6. Big 12 (Alamo)
7. Big 12 (Cactus)
The SEC has bowls with matchups against the ACC/Notre Dame, Big 10, Big 12, and AAC.
So basically, the only way the PAC-12 and SEC play each other in a bowl game are as a result of one of the Championship Semis, the Championship game, one of those other conferences not getting enough teams to qualify for bowls leaving at-large bids, or two at-large bids on a NY6 or some other bowl without enough qualifying teams from its conference affiliations.
Plus, Utah would have to have a really bad record (6-6ish) to be low enough in the bowl selection criteria to be at-large available.
So in other words, that's not happening this year. No way.