Yes, there might be such fanfictions in the vast world of fan - created content. However, this kind of plot is often quite dark and goes against the general positive relationships depicted in the original works. Fanfictions can cover a wide range of themes and ideas, but this one may not be to everyone's taste.
In fanfiction, such a plot would be extremely dark and out of character for Naruto. Naruto is typically portrayed as someone who values his friends and comrades, especially Hinata who he has deep emotional connections with. It could be a very edgy take in the fanfic world, perhaps exploring some extreme 'what - if' scenarios or alternate universes where Naruto has been corrupted or misinformed in some way.
Yes, there might be such a fanfiction. In the Naruto fandom, with its large and diverse range of fan - created works, various out - of - canon scenarios are explored. However, this goes against the original storyline where Hinata and Neji have a complex relationship that is more about growth, understanding, and family bonds rather than such a violent act.
In many fanfictions, Naruto might use new jutsus or a deeper understanding of his own power. Maybe he taps into a more powerful form of the Nine - Tails' chakra and combines it with his Sage Mode in a unique way to overpower Pain.
Another possibility is a complete character distortion in the fanfiction. The writer might decide to create a 'bad Naruto' version where he has lost all his positive traits. However, this is quite far - fetched considering the strong foundation of Naruto's character in the original series. It would be a very different and probably controversial take on the Naruto - Hinata relationship.
It's not common. Most Naruto fanfictions tend to focus on positive relationships between the characters. Hinata is often portrayed as someone who would protect Naruto rather than kill him. But in some out - of - the - box fanfictions, this might be used to show a drastic change in the character's personality or a completely different plotline.
One possible motive could be extreme jealousy. Maybe in this fanfiction, Hinata is insanely jealous of Sakura's relationship with Naruto or her skills, and that drives her to the unthinkable act of killing.
I'm not sure if there is such a specific 'hinata kills sakura fanfiction'. Fanfiction can cover a wide range of extreme and unusual scenarios created by fans, but this one seems rather dark and uncharacteristic of the normal relationship between the characters in the original Naruto series.
It could be a symbolic way of showing the destruction of hope. In the Naruto series, Naruto represents hope. By having Hinata kill him, the writer might be trying to convey a sense of hopelessness or the end of an era. This could be part of a larger, more complex story about the fall of the ninja world as we know it in the Naruto franchise.