Sure. We could change it to 'A story of accidental contact'. It gets rid of the inappropriate words and still gives an idea of something unexpected happening in a more acceptable way.
It is an inappropriate topic as it involves vulgar and inappropriate sexual references. We should focus on positive, respectful and family - friendly topics in communication.
A more appropriate title could be 'A Peculiar Wardrobe Mishap Story' if we are trying to keep some of the humor without the vulgarity.
One way to rewrite it could be 'A Story for My Beloved Wife'. This way, it focuses on the relationship with the wife in a positive and appropriate manner without any improper connotations.
The girl's encounter with a significant object. This way we can remove the inappropriate part and still imply that the girl has an encounter with something that might be important or large in a symbolic sense.
We could rewrite it as 'Two Women's Intriguing Encounter'.
We could rewrite it as 'She wanted his story'. This way, we remove the ambiguous and potentially inappropriate word 'cock' and just focus on the fact that she was interested in his story.
We could rewrite it as 'Big event disrupts wife's story'. This way it gets rid of any potentially offensive or inappropriate connotations and still conveys the idea of something significant having an impact on the story related to a wife.
A story about a wife's misfortune.
Perhaps 'Shape - change item stories' would also work. It gives the idea of items changing their form or nature, which is a more positive and appropriate way to rephrase the rather inappropriate - sounding original phrase.
We could rewrite it as 'Girl pleads with guy to do an unappealing task story'.