Yes, there are quite a few. You can start by looking on popular fanfic websites like FanFiction.net or Archive of Our Own. Just search for 'Naruto Kiss Kakashi' in their search bars and you'll find a variety of stories. Some might focus on an alternate universe where their relationship takes a more romantic turn, while others could be more of a one - off, what - if scenario.
A possible plot could be that in a mission gone wrong, Naruto and Kakashi get separated from the rest of the team. They end up in a strange place where they have to rely on each other more than ever. As they face various challenges together, their bond deepens and Naruto realizes his feelings for Kakashi, leading to a kiss.
Often, Gai is paired with Kakashi in Hurt Kakashi fanfiction. Gai, with his unwavering belief in friendship and his eternal rivalry with Kakashi, can be a great character to interact with a hurt Kakashi. He might try to pull Kakashi out of his slump through their friendly competition. Also, Rin is sometimes included. Since she has a significant past with Kakashi, her presence in the fanfiction can either be a source of comfort or more pain, depending on how the story is written.
Naruto is often a common character. Since Naruto has a strong bond with Kakashi, he might be involved in Kakashi's time - traveling adventures. Sasuke could also be there. Their relationship with Kakashi in the original story makes it likely for them to show up. And of course, Guy would be a great addition. His friendly rivalry with Kakashi would add some humor and action to the time - travel scenarios.
Another reason could be related to Kakashi's past actions. If there are some secrets or things Kakashi did in the past that come to light and Naruto doesn't like them, he could snap at Kakashi. Naruto has a strong sense of justice and loyalty, so if he feels betrayed or misled by Kakashi, his reaction could be to snap.
Kakashi would likely still maintain his cool and mysterious demeanor. He'd be the experienced ninja, quick to analyze situations and offer sage advice. For example, when faced with a difficult opponent, he'd be calm and strategize on the spot. Hinata, on the other hand, would be her shy yet determined self. She might blush a lot around Kakashi at first but would show great courage when it comes to protecting others. Her Byakugan would be a crucial asset in the story, like if they were searching for something hidden in a lemon grove, she could use it to detect any hidden threats.
Well, often in Hurt Kakashi fanfiction, there's the theme of his physical injuries and how he copes with them. Given his dangerous line of work as a ninja, he gets hurt a lot. Writers might explore how he deals with long - term or serious injuries that could potentially end his ninja career. Also, his relationships can be a source of pain. For instance, his complex relationship with Obito and how that affects his mental state when they are at odds.
Their relationship is like a mentor - mentee bond. Kakashi has trained Naruto, and when he sees Naruto achieve great things, it can be overwhelming. For example, when Naruto masters a new jutsu that Kakashi thought was difficult for him, Kakashi might cry out of joy for Naruto's accomplishment.
It could become strained. Naruto snapping at Kakashi would create an initial rift between them. Kakashi might be taken aback by Naruto's outburst and Naruto, after snapping, might feel a bit guilty but also stubborn about his feelings, which would make the relationship tense for a while.