Rules Analysis
Picks:
Initiating contact with a disc in a player's possession is a foul. Sustained contact with, and control of, a non-spinning disc is required to establish possession (3.J). A player may not call a strip if they had only momentary contact with or lacked control of the disc prior to an opponent contacting the disc.
During any stoppage of play, opposing players may agree to slightly adjust their locations to avoid potential imminent picks.
Then the picked defender catches up the relative position lost because of the pick. If they were trailing by 9 feet, then they get to catch back up to 9 feet away, but does not get to set up right next to the offensive player.