There could be. There are a lot of creative fans out there who come up with all kinds of unique story concepts. However, I'm not sure exactly where you would find it. You could also check Naruto - related forums where fans might discuss and share such fanfics. It might take some time and effort to search for it though.
In a straight - up fight, Itachi has some very powerful abilities. His genjutsu can be extremely difficult to break out of, and his ninjutsu attacks are strong. But Batman is no slouch. He has fought against some of the most powerful villains in the DC universe. He would study Itachi's moves and try to find a pattern. Batman might also use his wealth to create some sort of countermeasure to Itachi's Sharingan. Overall, it's a very close call and would likely depend on how the writer of the fanfiction wants the story to go.
Minato might also be a prominent character. As their teacher, he can influence the way Obito and Kakashi interact. In some fan fictions, he could be the one to help them resolve their differences or provide some crucial information about their past that changes their current situation.
The theme of redemption also pops up often. Since Itachi has a complex and somewhat dark past, the OC might be a factor in his journey towards redemption. And for Kakashi, the OC could be a new chapter in his life, helping him move on from past traumas or regrets. This makes for a very interesting dynamic in these fanfictions.
You can try Archive of Our Own (AO3). It has a large collection of fanfics from various fandoms, including Naruto. Just use the search function and type in 'Kakashi x Itachi tickle' and see what comes up.
One interesting scenario could be a battle in a dark, abandoned cityscape. Itachi's Sharingan abilities would give him an edge in terms of perception and illusions. Batman, on the other hand, would rely on his gadgets and combat skills. He might use smoke bombs to disrupt Itachi's line of sight and then try to get in close with his martial arts. Another scenario could be a mental battle. Itachi is used to psychological warfare, but Batman is also a master of getting into his opponents' heads. Itachi might try to use his genjutsu to break Batman's will, but Batman's strong mental discipline could resist it.
One interesting scenario could be a battle of wits. Itachi is known for his intelligence and Sakura has grown to be a very smart and capable ninja. They might engage in a mental duel where they try to outmaneuver each other with strategic moves and mind games.
Some fanfictions might explore the emotional aspect of their fight. For example, how their past friendship affects the battle. Maybe Kakashi hesitates to strike a fatal blow because of their shared history.
A story about them swapping bodies for a while could be really fun. They have to adapt to each other's abilities and lives while trying to figure out how to swap back. This would involve a lot of character exploration as they experience the world from the other's perspective without any adult - themed content. They might also learn new things about each other and grow as characters.
Sure. There are many great non - lemon Kakashi and Itachi fanfictions out there. For example, some focus on their friendship during their time in the ninja world. They might be on a joint mission and have to rely on each other's skills to overcome difficulties. Another type could explore their relationship in the context of training the younger generation of ninjas. They could be passing on their knowledge and values to the new ninjas, which is a very positive and non - adult - themed exploration of their characters.