Yes, there probably is. In the Naruto fandom, there are various fanfiction themes, and the 'narusaku' (Naruto - Sakura relationship) with Naruto hating Sakura can be an exploration of an alternative take on their relationship. Some fans might write this to explore what - if scenarios or to express their own views on the characters' dynamics that deviate from the canon.
In fanfiction, the evidence often lies in the way the author portrays Naruto's interactions. For example, Naruto may be shown being cold or dismissive towards Sakura, like avoiding her company or not showing any romantic interest. Meanwhile, with Hinata, he could be depicted as being more affectionate, like blushing around her or always coming to her aid. But it's important to note that this is all in the realm of fan - created interpretations and not the official canon.
One possible reason could be for the sake of creating a more complex love triangle in fanfiction. Maybe the writer wants to explore a different dynamic where Naruto and Hinata's relationship is strengthened by having a common dislike for Sakura. It could also be that the fanfiction writer is trying to give Hinata more agency and make her a stronger character by having her oppose Sakura in some way, perhaps in matters related to Naruto's affections.
One common element could be a significant event that causes Naruto to change his feelings towards Sakura. For example, he might discover something she did in the past that he can't forgive. Another element might be the exploration of how Sakura reacts to Naruto's hatred, which could lead to her character growth or downfall.
One reason could be that in some fanfictions, Naruto might feel that Sakura is too obsessed with Sasuke and neglects their friendship. He values loyalty and may see her one - sided love for Sasuke as a form of betrayal to their team bond.
It could mean that in the sasunaru (presumably a relationship concept within the Naruto fandom) context, the character Sakura has a dislike for Naruto fanfiction. Maybe it's because the fanfictions often deviate from the original story in ways she's not fond of.
One possible reason could be that in some fanfiction, Naruto might be written to hate them because of their early treatment of him. Sakura was often dismissive of Naruto in the beginning, and Ino was more focused on Sasuke too. So in a different narrative, Naruto could hold grudges against them for not seeing his worth initially.
One theme is often about Naruto feeling excluded by them. In the Naruto world, there are many groups and cliques. If Sakura and Ino form a group that constantly shuts Naruto out, it can lead to his hatred. Also, in some fanfictions, the theme could be about Naruto's quest for self - discovery and realizing that Sakura and Ino don't fit into his new view of the world. This could cause his negative feelings towards them.
One possible reason could be jealousy. Maybe in the fanfiction, Naruto feels overshadowed by Sasuke in Sakura's eyes, which leads to his hatred. Another reason might be that he perceives their relationship as a threat to his own bonds with them. For example, he could think that Sasuke and Sakura's closeness excludes him in some way.
For Naruto, his character arc could start with his intense hatred for Sakura. As the fanfiction progresses, he might start to question his feelings. Maybe he realizes that his hatred was misdirected or based on false assumptions. For Sakura, her arc could be about persevering in her love despite Naruto's hatred. She could grow stronger and more confident in expressing her feelings and trying to change Naruto's view of her.