Only when he got into the Avatar state, which is basically an "I win" mode.
Except for, you know, that time the it almost resulted in his death. Pretty far from an "i win" mode.
That scene really clashed with its depiction in the rest of the show. Every other time Aang entered the Avatar state, he really was basically turning on God mode. Attacks would bounce harmlessly off him. He could rout entire armies. Nothing could come even close to stopping him. But then all of a sudden, at a moment when it would be dramatically convenient to put him in peril, oh, maybe the Avatar state isn't all that powerful after all? Huh. The only idea I have that might explain it is that maybe he's still vulnerable while he's just entering the Avatar state. They certainly never addressed the discrepancy in the show. And someone mentioned Korra's use of the Avatar state, and from what I've seen, it's been similarly nerfed for her.
Speaking of comparing the two shows, I'm halfway through Korra's second season, and at least so far, it's nowhere near as good as the first show. It's not bad or anything, but it seems like they have no idea what they're doing with the show. They lurch from weird sports-themed episodes to love triangles to warfare to spirituality so quickly that it's just like, well, they're making it up as they go along. There's no focus. And Korra herself, while a great character, isn't developed very well. Most episodes just go, Korra does something rash and impulsive, Korra realizes that's bad, rinse, repeat. Does she have a really weird case of short-term memory loss or something?