To tackle the answer head on... the answer is unlikely. The Chargers are, for the most part, set at Nose Tackle, with a recent big free agent signing in Brandon Mebane starting at the position. The Chargers have the veteran experience and leadership that they would be looking for in Knighton in Mebane. The Patriots cutting "Mister Roast" is a few months too late for the Chargers to sign him.
Both veteran players are of similar age, weight, height, and experience; however, Knighton has a history of having weight problems. Not to say he can't get in shape, but this could be a concern for the Chargers and perhaps a risk they would rather avoid. The biggest difference between Mebane and Knighton is that Mebane is a proven champ, as a key cog in the Legion of Boom, when he won a Super Bowl with the Seattle Seahawks. The Chargers may not be in need of someone like Knighton. Knighton saw his cut coming due to his lack of snaps in his final game with the Patriots.
Great respect for Robert Kraft and bill Belichick. Learned some things from my time here.— Terrance Knighton (@MisterRoast98) August 29, 2016
The lack of confidence from the Patriots in Knighton, who was supposed to be a fill-in for Wilfork, raises a red flag and would seem to be an issue. It may raise the question of whether he is fit at the moment to fill that role? What the Chargers need is someone to come into the rotation and spell, perhaps someone younger and ready to handle a load of reps.
As mentioned earlier, the Chargers have depth at Nose.However, with Square being suspended for four games due to missing a drug test, thus violating the NFL's substance policy, Square will be missing substantial time. With Carrethers as the only listed backup at the nose, they could use some depth. The overnight, under-the-radar signing of Joey Bose is a welcoming sight, which may keep the "Roast" out of San Diego and have him possibly landing back with the Skins.