No. Writing fanfic that involves sexual content about a character is inappropriate and often goes against the ethical and respectful treatment of the character and the source material. It can also be considered a form of non - consensual objectification.
You could write adventure - based fanfic. For example, Carol Danvers could be on a new intergalactic mission to save a planet from a powerful enemy. This would focus on her heroism and her skills as a powerful superhero.
Another interesting one is 'Rambeau and Danvers: A Sisterhood'. It emphasizes the sister - like bond between them. The author does a great job of exploring their emotions and how they rely on each other in different situations.
It should also include some unique plot twists. Maybe Carol discovers a new aspect of her powers that was not shown in the movie and this changes the course of the Endgame. Or perhaps she has a secret connection to one of the villains that no one expected. These twists keep the reader engaged.
In the comic universe, Carol Danvers isn't a mutant. Her powers come from a different origin and set of circumstances. It's a distinct aspect of her character development.
A great Carol Danvers and Monica Rambeau fanfic often includes references to their comic book history. It gives a sense of authenticity and depth to the story. It can be something as simple as mentioning a particular event from the comics that shaped their characters. The fanfic should also be inclusive and diverse, not just in terms of the characters' backgrounds but also in the themes it explores. It could deal with topics like family, identity, or power dynamics in a way that is both relevant to the characters and thought - provoking for the readers.
I'm not sure if there's a specific widely - known fanfic with exactly that premise, but it's very likely to exist in the vast world of fanfiction. Fanfic writers are constantly coming up with new and interesting ideas, and the combination of Carol Danvers' character and Peter Parker's popularity makes it a great concept for a story. Maybe in this fanfic, Carol Danvers' son is inspired by Peter's story of rising from an ordinary kid to a great hero and tries to follow in his footsteps in some way.