This season, it would be possible. A certain amount of luck would be required of course. But the question was this season, so, possible.
During a normal season? No way.
They could have not played Michigan more than once. I think they could have hung with Illinois, especially if they got both games early in the season.
They would have handled (easily on any given night):
Nebraska, Penn State, Northwestern, Rutgers, Indiana.
Difficult wins but pulled out and luck involved:
Ohio State - if playing them during Teh Ohio State's "down stretch".
Iowa the 2nd time @ Iowa.
Purdue @ Purdue.
Minny @ Minny.
**** Wisconsin @ **** Wisconsin.
Some of those games normally would be tough, but with no home crowd I.E. Rutgers, this season and this Gonzaga team could have handled it.
Michigan State - down year for the most part. Win if they played the games prior to MSU changing point guards.
Mary Land - if played at the same time Iowa played them, or early in the year.
Keep in mind some of these would only be one game, so the they could have gotten away with Purdue, or Illinois, or Ohio State 1x.
The B1G tournament - that would be beat Illinois with barrage of 3 pointers then just playing some D. As we all saw, play some good D and Illinois folds hard.
Personally, I think Gonzaga should have wanted to reschedule the Baylor game. If that was a loss, better to have the exp. for the final.