Yes, there are. On platforms like Archive of Our Own, you can find many stories that focus on their family relationship. For example, some might explore how Hiashi's parenting style influenced Hinata's personality and her growth as a ninja. These stories often show the complex father - daughter dynamic within the Hyuga clan setting.
There are fanfics that focus on a political alliance between Naruto (as a future Hokage) and Hiashi. Hinata is caught in the middle of this in a way that she has to prove her worth not just as a Hyuga but also as someone who can stand beside Naruto. In these types of fanfics, there's often a lot of character development for all three as they navigate through the complex world of shinobi politics.
The 'Hyuga's New Hope' fanfic is quite popular. It focuses on how Hiashi sees Naruto as a new hope for the shinobi world and encourages Hinata to be closer to him. It has a great mix of action and romance elements.
Fanfiction about Hiashi and Hinata should be more about their family dynamic and character development rather than 'lemon' content. There may be stories that explore Hiashi's role in Hinata's life during important events in the Naruto series. Maybe how he reacted when she was facing challenges in the Chunin Exams or how he supported her training in some fan - created scenarios. These types of stories can be found by using relevant tags and keywords on fanfiction platforms.
In some fanfictions, Naruto might use his newfound jutsu skills. He could quickly dash in between Hiashi and Hinata, using his speed and agility to block any attacks Hiashi might be launching towards Hinata. His Rasengan in his hand, ready to defend if Hiashi doesn't back down. This shows Naruto's determination to protect Hinata from any harm, even from her own father in this fictional scenario.
Maybe Hiashi thinks Naruto fanfiction might contain inappropriate or untrue portrayals of the Naruto world and characters. He wants to protect Hinata from being influenced by such potentially inaccurate or improper content.
Well, it might be a fanfic that delves into a new adventure. Naruto, being the main character, could lead the group. Hinata would be by his side, with her shy but strong personality. Hanabi could represent the new generation of the Hyuga clan, learning from Hiashi. And the Uzumaki connection could add a layer of mystery and power to the story. For example, they might discover an ancient Uzumaki technique that helps them in a battle or a crisis.
One possible plot could be a tournament where all these characters participate. Naruto represents his village, Hinata and Hanabi compete for the Hyuga clan's honor, and Hiashi oversees it. The Uzumaki part could come in if Naruto discovers some hidden power during the tournament related to his Uzumaki heritage.
Well, their friendship is like a foundation. Naruto, having known Hinata for a long time, values her. In the situation where he has to save her from Hiashi, his friendship is what pushes him to put himself in harm's way. He remembers all the times they've shared, the support Hinata has given him in the past. This makes him determined to return the favor and protect her. It also means he's more likely to understand Hinata's perspective and try to resolve the issue between her and Hiashi in a way that benefits her in the long run.
She might be disappointed at first. Since she is interested in Naruto, she may have been curious about the fanfiction as well. But being the obedient daughter she is, she would probably respect her father's decision.