QBs (or any other #1 pick) just don't seem to have much ability to get out of going to a team they don't want to go to. Yes, I know I know.... everyone always responds with Elway and Eli.... but the fact that in the past 50 years of NFL draft, they are the only 2 who managed to shoot their way out of that #1 pick's team kinda proves that it is an extremely rare occurrence.
Roddy White made a comment on some radio show advising Lawrence to stay in school if the Jets were the #1 pick, but that was nothing more than some guy giving an opinion. There isn't anything out there suggesting he was actually hired by Lawrence to provide professional advice (why would a top QB prospect hire a random has-been WR for advice along these lines??). We will never know, but I do not believe Lawrence would have followed White's advice if the Jets were the top pick. He was coming out last year no matter what.