No, it's not a common phrase at all. In normal English usage, it seems rather strange and not a typical expression you would hear in everyday conversation or see in general writing.
A possible rewrite is 'Boyfriends' Inspiring Stories'. By changing it like this, we are emphasizing positive stories related to boyfriends, rather than the original phrase which was rather unclear and had inappropriate elements if taken at face value.
No. Such content is vulgar and inappropriate for public sharing. It violates moral and ethical norms and may also be against the rules of many platforms.
I'm not sure what this phrase exactly means in a non - inappropriate way. It could potentially be a misspelling. Maybe it was intended to say 'boyfriends' and perhaps it was about some fictional or humorous story related to boyfriends, but without more context it's hard to say for sure.
Sharing such stories is highly inappropriate as it involves private and often vulgar sexual content. We should respect the boundaries of privacy and propriety in society.