Yes, there are some. You can find them on fanfiction websites like FanFiction.net or Archive of Our Own. Just search for 'Naruto kissed Sasuke' in their search bars and you'll likely come across several stories with this concept. However, the quality can vary greatly.
In Naruto and Sasuke fanfic, Naruto's relationship with Kurama can be shown in various ways. Sometimes, Naruto is depicted as having an even deeper bond with Kurama, where they communicate more freely and work together more seamlessly in battles. Kurama might be portrayed as more of a guiding force for Naruto, not just a source of power.
Another theme is the reaction of those around them. Their friends, like Sakura or Kakashi, might be shocked or have different reactions. Some might support them, while others might be confused or against it at first. It adds drama to the story.
Kurama can influence Naruto's actions towards Sasuke in a more emotional way too. For instance, the bond Naruto has with Kurama might make Naruto more empathetic towards Sasuke's own inner turmoil. Naruto, having a powerful being like Kurama inside him, might understand Sasuke's search for power better. So, he could approach Sasuke with more patience and understanding in the fanfic.
There would also be some fans who might be a bit shocked. Naruto and Sasuke's relationship has always been complex and more of a deep friendship/brotherly bond in the original series. So a kiss might seem a bit out of character to them at first. But for those who love exploring different interpretations, they might come around to it and start to enjoy the new take on their relationship.
In this fanfiction, it might be that Sasuke got injured during the mission. Naruto, in a moment of relief after saving Sasuke's life, kissed him. This act could be the start of a new dynamic in their relationship, where they have to confront their feelings for each other while still completing the mission at hand.
One popular 'naruto accidentally kissed sasuke fanfic' could be 'The Unintentional Kiss'. In this fanfic, it might explore how this accidental kiss changes their relationship dynamic. It could add a lot of interesting twists and turns to their friendship, making their interactions more complex and full of unspoken emotions.
Expect a lot of creativity. Since it's fanfiction, authors can go wild with their ideas. You might find that the fanfiction explores different power dynamics between Naruto and Sasuke as well. Maybe Naruto's newfound confidence in his feelings makes him more assertive, or Sasuke's internal struggle with his emotions makes him more vulnerable. The kiss could be the starting point for a whole new adventure or a deepening of their connection that was previously unacknowledged.
One consequence is a change in his physical strength. Kurama provided Naruto with a huge boost in power, so without it, he might not be as strong in terms of brute force. However, this could also force him to become more strategic in combat.
Well, Kurama might train Naruto by teaching him how to better control and access chakra. Since Kurama has a vast amount of chakra, it could show Naruto unique ways to harness and use it. For example, it could guide Naruto in creating more powerful and complex jutsu by using their combined chakra in a more efficient way.