There's a construction V+っこない which means something like "have no way of doing
V".

> お前には分かりっこないでしょう。
>
> There's no way you would understand.

Is it known what this construction originates from? I can't find any reliable
information either in Japanese or English.
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2019-10-12T05:53:36.843
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question
etymology expressions suffixes
What is the origin of っこない?
I’ve always thought っこない originates from ことない.
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2019-10-12T15:26:11.297
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answer
Assuming you are not asking for the historical origin, the uncontracted form
of 'っこない' is 'こと **は** ない'. Your sentence becomes お前には分かることはないでしょう

こと means here something like event or situation, so ' V + ことはない' (more)
literally means that the situation where _V_ happens is impossible. Hence, the
construction means 'there is no way ...', as you already see.

===

Among the posts linked in the comment, 逃げっこなし is basically the same (逃げることはなし)
and the second っこ for reciprocal actions is different.

===

ことない mentioned in other answers is possible but has different meanings. Either
a simple negative sentence or meaning that someone goes beyond a reasonable
limit. For example,

そんなに怒る **ことない** でしょう - You don't have to get that angry (about such small
matters)
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