A strong denial with

Grammar: Assertion and Declaration » 〜っこない

~っこない is a forceful, colloquial way to say that something is impossible or has no chance of happening.

It translates as “no way”, “definitely impossible”, or “absolutely cannot”. The speaker treats the denial as certain.

Usage Notes

Attach it to a verb stem, as in 食べられっこない, “there is no way I can eat it”. It often follows potential verbs and appears with conditionals.

It also pairs with emphatic expressions such as なんて: なんてありっこない, “there is no way that is possible”. It resembles ~わけがない but sounds less formal and more conversational.

Further Reading

Examples

Can't be found with 〜っこない

Learn the meaning and usage of the grammar 〜っこない in Japanese, with examples from manga.
怪盗セイント・テール » Volume 2 » Page 34

Saint Tail sends out a parade of copies of herself to confuse Asuka Jr. and the police.

セイント・テール:
「この どさくさの(なか)をにいげる!」
“I'll escape in the midst of all this confusion!”
「ぜーーったい見つかりっこないもん」
“There's absolutely no way that I can be found.”

No way he can win with 〜っこない

Learn the meaning and usage of the grammar 〜っこない in Japanese, with examples from manga.
まじっく快斗 » Volume 1 » Page 14

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 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… ()っこないじゃない……」
“What's with all that showing off? There's no way he can win.”
「お(とう)さんだって、()()いてるんだから」
“Even Dad is having a hard time of it.”

No way you can catch with 〜っこない

Learn the meaning and usage of the grammar 〜っこない in Japanese, with examples from manga.
怪盗セイント・テール » Volume 1 » Page 115

Asuka Jr. is feeling down after Saint Tail committed a theft without giving him advance notice. When Meimi tries to console him, he tells her she doesn’t understand Saint Tail.

芽美(めいみ) (thinking):
「わかるもん…… セイント・テールはあたしだもん!!」
“I do understand... Because I'm Saint Tail!!”
芽美(めいみ):
「あんたなんか一生(いっしょう)かかったってセイント・テールをつかまえられっこないっ」
“Someone like you can take a lifetime and there's no way you can catch Saint Tail!”