No way he can win with 〜っこない

Grammar Explanation: A strong denial with 〜っこない

As he performs one trick after another, Kaito says he’s unbeatable at magic. Aoko says he can’t win against Kaitou Kid, the magic-using thief Kaitou Kid her police father has yet to apprehend. Kaito disregards the claim and continues disrupting class with his tricks.

青子(あおこ):: 「なによ、かっこつけちゃって…　勝(か)てっこないじゃない……」; "What's with all that showing off? There's no way he can win."; 「お父(とう)さんだって、手(て)を焼(や)いてるんだから」; "Even Dad is having a hard time of it."