I doubt it. I'm even doubting that the Jets will draft a QB at #2, they have Sam Darnold, who's young and looks like he'll have a promising career. It wouldn't make financial sense for the Jets to have two high-draft QBs on their roster. If I was in the Jets position I would trade down and grab as many bargains as I can. Build up the offensive line and add some depth. If the Jets don't trade down I suspect Robert Salah will draft a break-out WR or TE. That would be the smart thing to do.
Matt Ryan is aging, and I can see the Falcons wanting to plan for the future QB, so they may take a QB at #4. But again, I think they have other pressing needs like an entire pass-defense, lol.
There are so many good QBs in this year's draft some are bound to fall to the lower first round, and many will be bargains in the latter rounds. That's another reason I believe the 9ers have Wilson in mind with the trade they made. It really wouldn't make sense for any of the others, including Lawrence, in my opinion.
Historically and statistically speaking a QB is the worst player to draft with the first over-all pick, or any high draft pick. Tom Brady just put the nail in the coffin for first-round QB draftees. It'll be decades before anyone can match his accomplishments and it's no guarantee that the one who does will have been a high draft-pick, or even a first-rounder. The position requires so many intangible attributes to be successful. Speed, athleticism, and intelligence are the easy metrics to assess, which is why more highly drafted wide receivers enjoy successful NFL careers than highly drafted QBs. There's so much more that goes into being a good QB, and many of those attributes have yet to be defined, let alone metered.
Think about the best QBs in the league right now; Aaron Rodgers should have been picked fist by the 49ers, but that fumbling dumbass Mike Nolan chose Alex Smith instead. Brady was a sixth round pick, selected to carry water for the practice squad. Mahomes was passed up by nine teams before KC chose him, and Trubisky was selected before him. There's no rhyme or reason for it. If you take (arguably) the two best QBs to ever play the game; Montana and Brady try to mimic what Walsh and Belichick did to make those choices... Where would you start? Both coaches reputedly said that it was dumb luck.