Yes, there are quite a few. You can find some on fanfiction websites like Archive of Our Own. Just search for 'Star Wars Obi - Wan Daughter' and you'll get a list of stories. Some of them explore what it would be like if Obi - Wan had a daughter, her relationships within the Star Wars universe, and how she might impact the overall story.
One common theme is her struggle with her identity. Since she's Obi - Wan's daughter, she has to deal with the expectations that come with that. Another theme is her relationship with the Force. She might have a different way of connecting to it compared to other Jedi. And of course, there's often the theme of family, exploring how her connection to Obi - Wan shapes her character.
One example could be a story where Luke discovers Obi - Wan had a daughter and they team up to face a new threat. Maybe she has some hidden powers that are crucial in the battle.
Luke Skywalker would be a great ally. Since he was also trained in the ways of the Jedi by Obi - Wan, he would likely feel a connection to Obi - Wan's daughter. He could offer her guidance in using the Force and share his own experiences. Another potential ally could be Chewbacca. He's loyal and strong, and his knowledge of the galaxy could be very useful for her. He could help her travel safely through different planets.
It could introduce new storylines. For instance, if she has a unique connection to the Force, it might change how the Jedi are perceived. Maybe she has a different approach to using the Force that challenges the traditional Jedi ways.
In a time - travel story, Obi - Wan's character would grow in his understanding of destiny and the Force. He may see events that were meant to happen no matter what he does, like Anakin's fall, which could make him more accepting yet still determined to fight for the light side. He could also develop a stronger sense of leadership as he has to navigate through different time periods and deal with various threats. He might have to lead other Jedi in different eras, which would force him to adapt his leadership style and become more versatile.
If Obi - Wan travels back in time, his character would become more self - aware. He would have the knowledge of his past mistakes and would be more cautious. For example, in his relationship with Anakin, he might be more empathetic from the start, understanding Anakin's insecurities better. This would lead to a different dynamic between them, and perhaps Anakin would not be so easily swayed by the Dark Side. Also, Obi - Wan would be more confident in his Jedi abilities as he has already seen the heights and lows of the Jedi Order in his own time.
In fanfiction, there's no set rule. It's a realm of creativity. There could be a fanfiction where Obi - Wan is related to Padme's father through a prophecy or a magical force - related event. Or perhaps in a parallel universe - type fanfiction, their relation is part of a major plot twist. So, simply put, it's possible in the wild world of fanfiction.