I'm not sure specifically which 'choke cock story' you are referring to. There could be various stories with this name. It might be a very specific or even a local or personal story.
No, it's not appropriate. Such stories are part of very private and intimate experiences that should be kept between the parties involved. Sharing them goes against the respect for privacy and the general standards of decency in society.
A 'choke novel' might be a type of novel that has elements which are constricting or suffocating in a metaphorical sense. For example, it could deal with themes like a character feeling trapped in a certain situation, whether it's a relationship, a job, or a social environment. The plot might revolve around how the character tries to break free from this 'choke' - like state. However, this is just speculation as we don't really know the exact nature of this 'choke novel'.