It's feasible, but a Hail Mary...
If Cal is rated high enough, the Rose will take them in that scenario. LSU could conceivably end up in the Orange, but I honestly don't think we'll be seeing them in Pasadena. It would be one heckuva game, though.
I can't imagine Cal going to the Rose Bowl with three losses under any scenario. They'll be lucky to hang onto a top 25 ranking this week, and they're not going to impress anyone if they beat Stanford in their final game.