Definitely not. In the Naruto universe, Kakashi is one of Sakura's superiors in a sense, as he is an experienced ninja and part of her training regime. Sakura's heart has always been set on Sasuke, from her childhood crush to her more complex feelings for him as they grow older. There's no indication of any romantic connection between Sakura and Kakashi.
Well, a lemon fanfiction usually involves some romantic or at least some sort of emotional relationship. In the context of Naruto, Kakashi, and Sakura, it could explore different scenarios. Maybe it shows an alternate universe where Kakashi has some sort of unspoken feelings for Sakura, and Naruto is caught in the middle. It might also involve some character development that is different from the original series, with the 'lemon' aspect adding a touch of romance or unrequited love.
In a fanfiction, Naruto, Sakura and Kakashi could form an unlikely alliance with a group of rogue ninjas. These rogue ninjas initially oppose Team 7 but later realize they have a common enemy. The enemy is a powerful ninja who wants to take over all the ninja villages. Naruto's positive attitude starts to rub off on the rogues, and Sakura heals their wounds during battles. Kakashi, with his Sharingan, is able to analyze the enemy's moves and come up with strategies. Together, they manage to defeat the power - hungry ninja and in the process, change the perception of the rogue ninjas among the other villages.
There might be such fanfictions out there. Fanfiction is a vast realm where writers explore different relationships and scenarios. However, this goes against the canon relationship dynamics in the original 'Naruto' series. Kakashi is more of a mentor figure, and Sakura has her own complex relationships with Sasuke and Naruto.
I really liked 'Naruto vs Sakura: Clash of Futures'. It's a fanfiction that explores what would happen if they had different goals for the future of the Hidden Leaf. The fight scenes are well - written, and it also shows the emotional side of their relationship as friends and comrades.
A fanfiction where they all go on a mission together in a strange, uncharted land. Kakashi is the leader as usual. Sasuke could struggle with his inner demons during the mission, Naruto would be trying to keep everyone's spirits up, and Sakura would be using her medical skills to keep them all in top shape. There could be new enemies and challenges that they have to face together, forcing them to rely on each other more than ever.
There are many great writers. Some popular ones might be those who have been writing in the Naruto fanfiction community for a long time. They understand the characters' personalities well. For example, there's a writer named 'LeafFan99' who often writes stories focusing on character development, like how Sakura grows under Kakashi's tutelage.
One idea could be a time - travel fanfiction. Naruto, Sasuke, Sakura, and Kakashi are sent back in time to their early days at the academy. They have the knowledge of their future selves and use it to change some of the events that led to hardships in their lives. For example, Sasuke could prevent the Uchiha massacre with their combined help.
One common theme is rivalry. Since they both are strong - willed characters in the Naruto universe, fanfictions often explore their competitive nature. Another theme is growth. Through their clashes, they both can grow as ninjas and as people. For example, they might learn new techniques or gain a better understanding of their own limits.
Well, in a Naruto vs Sakura Chunin Exams fanfiction, it could go many ways. Naruto might start the fight with his signature Rasengan move, but Sakura, being more strategic now, could dodge it easily. She could then counter with her enhanced strength punches. However, Naruto has his shadow clones which could confuse Sakura. The outcome would depend on who can outwit the other. If Naruto uses his nine - tails chakra accidentally, it could change the whole dynamic of the fight and make it even more dangerous for Sakura.