Here's where this theory sorta falls apart (or makes it much more difficult to achieve); Blount had to clear waivers first. 31 other teams had a shot at him and no one made a claim. Heck, the Patriots didn't even put a claim in on him.
At any time during the waiver process, someone could have claimed him. No one did so he's declared a free agent. Then he signs with the Pats.
If he really wanted to push himself towards the Pats, he certainly took a risk by throwing a tantrum to get himself thrown off the Steelers and then pray to clear waivers to then sign with the Pats.
Once he was declared a free agent, there's probably no doubt that he preferred New England over some teams because of the familiarity and such but, prior to that, it would've been pretty difficult to steer his way towards New England because of the system in place.
Man, Super Bowl week can't end soon enough. Media is just ridiculous at the moment.