I won't say there's no way because stranger things have happened, but I think it's extremely unlikely. Allen is younger than Torres (Torres is already twenty-six) and possibly around Redman's age (not sure of Redman's age, but Allen turned twenty-four in February, and I think Redman was a graduate senior at Louisville, if I'm right? Again, not totally sure.), and neither of them have any of the receiving talent Allen has. Allen's issue is his availability, but he played well as a rookie.
I feel it's much more likely that we go with three tight ends (Higbee, Parkinson, Ferguson) if we don't move Parkinson (which I think we should) than Allen getting beat out by either Redman or Torres.