No chance to fall that far. Even if they dealt Turner, Paxton and Duvall, they wouldn't have fallen into bottom 6.
The 6th worst team is WAS at 49-63, 15 games under. Sox are 3 games OVER right now. I highly doubt they'd win less than 13 games the rest of the way. That's how bad they'd have to do to get down to that winning %. They are going to go worse than 13-38? No chance.