As of now, the Jets have rebuffed those calls because they have not yet set their course for the offseason. With the No. 2 overall pick, they will likely have their choice of non-Trevor Lawrence quarterbacks to consider selecting at that spot.
They could also use that pick for a player at a different position, trade it for more picks to use to build around Darnold or a different quarterback, or use it as part of a trade package for a player like Deshaun Watson. Settling on one of those paths will have to take place before the team can make any move involving Darnold.