Everyone in this thread is dead wrong. Pikuach Nefesh does not override Sh’miras N’giah. N’giah is an Abizraihu of Arayos and is Yeihareg V’al Ya’avor. We are very Machmir on N’giah and never touch at all, even if the situation is not Derech Chibah whatsoever. However, in extreme situations, we ignore that Chumrah and treat it like the Ikkar Hadin, which is why you’re M’chuyav to save the drowning woman. (And if saving a drowning woman is Derech Chibah for you, it’s still not for her and there’s no reason for her to die because you’re a pig. If it would be Derech Chibah for her, she would be obligated to tell you that and to allow herself to drown before being touched Derech Chibah.)
In this case, there is certainly no Derech Chibah even if any accidental contact was made and the story, as told, is about a group of Yeshivah guys who are very much in the wrong.
To PBA and Torah: While I don’t disagree with you, there’s a story I once heard R’ Willig say on YUTorah. Someone once asked him a Shailah and he answered it. Then the person the Shailah was about came screaming to him about how unfair it was that he gave a P’sak without listening to everyone and completely understanding the story. R’ Willig responded that he wasn’t a Dayan here, he was a Rav answering a Shailah. He answered the specific Shailah he was asked and it is not his fault if the asker misrepresented the case. Assuming the case was as it was presented, he answered 100% correctly. So too here. Whether or not this precise story actually happened is irrelevant. In the story, as it was presented here, the Yeshivah guys are in the wrong.