I doubt this very, very much. That would require him to advance around one minor league level per month like Strasburg did, for more months (Hagerstown, Potomac, Harrisburg, Syracuse) and with way less polish and experience. Strasburg could realistically have been the Nats' opening-day starter and they still gave him a month to obliterate AA, then AAA, before they finally called him up. Unless you think Bryce Harper is going to do the hitting equivalent of what Stras did (which I guess would be hitting near .400 with a .500 OBP and .600+ SLG) at every level of the minors, he's not going to follow the same trajectory.
I guess you could argue that he might be called up from AA. That'd still be less than two months per level. Since Rizzo likes to wait for a prospect to dominate a league before advancing him, that would still be a ridiculously short amount of time for Bryce to adapt. Ain't happening IMO, unless he starts in high A.