No, it's not impossible. All you have to do is make a case. Here, by the numbers, the case being made is a 3.9% failure rate, less than half of which is scandalous, all of which appear to boil down to "YC should have known better than to invest in these particular founders". Make a better case! If they're "rotten to the core", that should be easy.

I don't think the number of investments they make is your real hurdle here. I think it's that you'll have to confront people familiar with the status quo ante of YC.