Yes, there might be. The Naruto fandom is quite large and diverse, so there could be fanfictions exploring such dark and alternate scenarios. However, these often deviate from the original positive relationship portrayed in the official series.
There could be. Fanfiction often explores various 'what - if' scenarios, even the disturbing ones like Naruto being abused by Minato. But these are not in line with the positive image of Minato in the main story. Writers may create such stories to explore extreme character development or just for shock value.
Well, perhaps the writer wants to break the mold of the traditional Naruto story. In the original, Minato is a great father figure, but in this fanfiction concept, the writer might be aiming to show how an alternate reality could shape Naruto. Maybe they want to explore themes of trauma and how Naruto could overcome it. Or it could be a way to experiment with different character dynamics, seeing how Naruto would interact with a Minato who is not the loving father we expect. It could also be a form of creative exploration of the characters' personalities, pushing the boundaries of what we think we know about them.
It might be an exploration of the 'nature vs. nurture' concept. Writers could be interested in seeing how Naruto's character would develop if he had a negative influence like an abusive Minato instead of the loving father he was supposed to have. Also, some might do it just to be different from the mainstream fanfictions and explore a more edgy side of the Naruto universe.
One possible way this fanfic could go is that Minato and Kushina's spirits could be in a state of limbo and they are forced to witness Naruto's abuse. This could lead to a series of events where they try to find a way to communicate with Naruto or influence the situation to stop the abuse. Maybe they reach out to other characters in Naruto's life to help protect him.
In fanfiction, Naruto and Minato often represent a connection between generations. Minato was a great ninja in his time, and Naruto is following in his footsteps. Fanfictions can explore how Naruto lives up to his father's reputation.
I'm not sure if there is such a specific fanfiction. Fanfiction can cover a wide variety of themes and scenarios, some of which might be rather strange or controversial. However, Naruto fanfiction often explores different relationships and alternate storylines, but this particular one seems a bit unorthodox and I haven't personally come across it.
One popular theme is Minato getting to know Naruto in the afterlife. Since Minato died when Naruto was a baby, fanfictions often explore their relationship in a spiritual realm.
Minato would likely be extremely shocked. Naruto is his son, and the idea of Naruto attacking him would be completely unexpected. He would probably try to talk to Naruto first, to find out what is wrong and why he is being attacked.
You can try websites like Fanfiction.net or Archive of Our Own (AO3). They have a vast collection of Naruto fanfictions. Just search for 'Minato' and 'Naruto' in the search bar, and you'll get a list of relevant stories.