No, it is not appropriate at all. Such content involves vulgar and inappropriate sexual implications which are not suitable for public discussion or sharing.
In a non - vulgar context, it might be a story where the girl is begging the guy to take on a responsibility or engage in an activity that he is reluctant to do. For example, it could be something like asking him to clean up a really messy area that he has been avoiding, and the phrase is used in a very hyperbolic or metaphorical way.
There is no information indicating that 'Cock Suck on Vacation' is a real story. It might be just a random and inappropriate phrase someone made up. We should focus on positive and respectful stories and topics.
Adventure stories are also great. Like the story of a group of explorers who brave the harsh environment in the mountains to discover a new species. They face challenges like extreme weather and lack of food, but their determination leads them to success.