An individual who's performance is so outstanding and almost unstoppable that they don't need a team to help them out. Derived from Drake's single "0 to 100/the catchup" although in his song it's "whole squad" rather than "full squad". Full squad is what it sounds like.
Travis: Dude we're losing by 12 kills. There's no way we're gonna win.
Richie: Relax bro, I just got a 2 kill collateral and a triple kill. I'm going full squad right now... Putting the team on my back!!
It is basically growing a pair and declaring that you're finally going to make a move on the girl that you want. Also a code so no one knows who the fuck you're talking about in order to avoid suspicion.
Travis: Dude when are you going for Schwartz?
Paul: ah shit dude....we'll see when I ask her to formal.