Wishful thinking, but not likely.
The backup will now be RS freshman
Derrick Brown (6'3" 236 with a rocket arm and good mobility). Then there are two (as of now) incoming true freshman (Lindquist and Miles) who are both highly rated, along with several highly rated 2013 recruits that may consider. There are also a couple of walk on QBs that are competing and scrimmaging already.
I think Montana transferred because he would only have one year of eligibility remaining after Keith Price graduates, and with at least 3 high-end QBs (Brown, Lindquist, Miles) in the program behind him there is a chance he may have never started at UW.
The backups at UW will be young, but very talented. Unless QB1 and 2 both go down with injury depth won't be too much of an issue in the foreseeable future.