Yes, there are quite a few. You can start by looking on fanfiction.net. There are some stories where they go on adventures together and their relationship slowly blossoms into something more. However, the quality can vary a lot, so it might take some time to find the really great ones.
One great fanfic could be about their adventures together in a different realm. Maybe they team up to solve a mystery that the original series didn't cover. It could explore their unique powers and how they complement each other.
One idea could be a time - travel plot. Percy accidentally travels back in time and meets a younger Zoe Nightshade. They start off as strangers but gradually develop feelings as Percy helps her with a quest she's on. Maybe he uses his modern knowledge to solve some ancient problems she faces, and in the process, they fall in love.
Well, there might be a fanfiction where Zoe Nightshade and Percy Jackson are forced to work together to defeat a new and powerful enemy. This enemy could be a dark sorcerer who is threatening to destroy the Camp Half - Blood. In the story, Zoe's knowledge of the ancient world and Percy's water powers could combine in really cool ways. For example, Zoe could lead Percy to a hidden spring that has special powers which Percy can use to enhance his abilities against the sorcerer. There could also be a fanfic that delves into Zoe's past more deeply while Percy is there to listen and learn from her story.
Well, in fanfiction, the fact that they both have strong connections to the world of Greek mythology is a big factor. They are both involved in the demigod world, facing various threats and challenges. Their relationship can be a source of strength for each other. And Zoe's past experiences, which are often filled with pain and sacrifice, can be healed or at least eased by Percy's more optimistic and tenacious personality, which makes for a really engaging couple in fanfictions.
In some fanfiction, Zoe's character might develop by becoming more open. For example, if she survives, she could start to trust others more easily, especially Percy. She might learn to let go of her past grudges and be more accepting of the modern world around her.
They could meet through a new quest that involves modern technology and ancient magic. Percy, with his knowledge of the modern world, and Zoe, with her ancient wisdom, would have to work together. As they face challenges like dealing with social media - influenced monsters or finding ancient artifacts in a modern city, they grow closer. Their relationship would be a blend of old - world charm from Zoe and modern - day spontaneity from Percy.
There might be some out there, but it can be a bit tricky to find. 'Lemon' fanfictions often walk a fine line in terms of the rules of different fanfiction platforms. You could also check out Percy Jackson fan communities on social media platforms and ask if anyone knows of any good ones that are within the acceptable content guidelines.
Redemption could also be a theme. Maybe Zoe has some unresolved issues from her past, and Female Percy helps her face them. Or vice versa. They support each other in making amends for past mistakes and becoming better versions of themselves in the process.
I'm not sure specifically about 'lemon' fanfiction as it often involves inappropriate content. However, there are many great Percy and Zoe Nightshade fanfictions that focus on their adventures, relationship development in a more appropriate way. You can check out fanfiction platforms like Archive of Our Own and look for well - rated ones.