Well, one possible plotline could be that Sasuke is under some sort of dark influence, like a powerful genjutsu or a curse, which makes him act out of character and abuse Hinata. Another could be a misinterpretation of Hinata's actions by Sasuke, leading to his aggression. However, this is a very dark and uncharacteristic concept for the original Naruto series.
First, the author could add a lot of backstory to explain Sasuke's behavior in a more sympathetic way. For example, if Sasuke was being controlled by an external force and he later realizes his mistake and tries to make amends. This would make it less of a straightforward 'abuse' scenario and more of a tragic misunderstanding.
There might be some fan - made stories out there, but Naruto abusing Hinata goes against the general positive relationship portrayed in the original series. In the official Naruto story, Naruto and Hinata have a relationship based on mutual respect and love. So, it's not common to find such inappropriate 'fanfiction' that adheres to the positive spirit of the series.
Their relationship could start off very tentatively. Sasuke, being so used to solitude, might be a bit standoffish. But Hinata's gentle nature could gradually break down his walls. They might start with simple exchanges, like Sasuke noticing Hinata's Byakugan abilities during a battle or training session. This could lead to a mutual respect, and as time goes on, they could become friends and perhaps more depending on how the story progresses.
One possible fanfiction scenario could be that Hinata, Sasuke and Naruto are on a difficult mission together. They start off with some tension due to Sasuke's past actions. However, as the mission progresses, they learn to trust each other more. Hinata might use her gentle nature to ease the situation between Naruto and Sasuke. Naruto's determination and Sasuke's skills combine with Hinata's support to make them a formidable team in this fictional adventure.
In a highschool fanfiction, Sasuke and Hinata's interaction could be really interesting. For example, in a classroom debate, Sasuke's strong opinions might clash with Hinata's more gentle and empathetic views. But this contrast could lead to a deeper understanding between them as they learn from each other's perspectives.
A really interesting one is 'The Unlikely Trio'. This fanfiction imagines a mission where Naruto, Hinata, and Sasuke are forced to work together in a very dangerous and isolated place. They have to rely on each other's strengths and overcome their differences to survive, which makes for a really engaging read.
One idea could be a story where Sasuke, Hinata and Naruto are on a joint mission. Naruto's cheerfulness, Hinata's gentle strength, and Sasuke's brooding nature create an interesting dynamic. They face a powerful enemy and have to learn to combine their unique skills, like Naruto's Rasengan, Hinata's Gentle Fist, and Sasuke's Chidori, to defeat it.
Yes, there are likely some out there. Fanfiction platforms like FanFiction.net or Archive of Our Own might have stories featuring Sasuke and Hinata sharing a kiss. You can search using their names and relevant tags to find such fanfictions.