Could happen. But its doubtful.
Had HB had a spring practice and normal fall camp I firmly believe he'd have taken over for JG earlier in the year. The relatively small sample size we've seen of him, you can tell he has not had enough time. Now, I still say play him regardless, because if you're going to get freshman mistakes from the QB position, get them from a freshman...at least we have something we are building towards with him in there.
I just hope they don't pull the trigger on him after a mistake or 2. Its gonna happen. Happens to them all.