There is. You can often find them on fanfiction websites. These stories might explore the relationship between Percy and his mom Artemis in ways that the original series didn't. Maybe they'll show how Artemis would raise Percy differently from Sally, and how that would shape Percy into a different kind of hero.
Her relationship with Wally could become more strained. He might not know how to comfort her, and she could push him away because she doesn't want to be seen as weak. With the rest of the team, she might be more distant at first. They could be worried about her but she might resist their attempts to help.
It depends on Percys' rules. If he is open - minded and thinks fanfiction can be a creative and fun extension of the original books, he might allow it. But if he has concerns about the quality or potential inappropriate content in some fanfictions, he may restrict it.
One common theme is the discovery of identity. Percy's child often has to figure out who they are in relation to their famous parent. Another theme is the inheritance of powers or abilities. Usually, they inherit some of Percy's powers and have to learn how to control them.
This is a very disturbing and unethical concept. In the Percy Jackson series, Annabeth and Percy are friends and equals. Turning one into the other's slave in fanfiction goes against the positive values of friendship, respect and equality that the original work promotes.
Power discovery is quite common. She usually has to learn about her powers and how to control them. It's a journey of self - discovery in that aspect. Also, the theme of facing the unknown. The world of demigods is full of mysteries and she has to face new threats and challenges that are different from what her father faced. This makes for an exciting read as we see her grow and adapt to these new situations.
One common theme is the exploration of Percy's new powers or abilities. Since Artemis has her own set of powers, Percy might gain some of those, like enhanced archery skills or a closer bond with nature. Another theme could be the change in Percy's relationships. His relationship with his friends and other gods would be different because of his new mom.
It would be a complex dynamic. Artemis is known for her aloofness and strictness. Percy, on the other hand, is a bit of a rebel. So, initially, there would be friction. However, as Percy starts to learn from Artemis, like her hunting techniques and her connection to the moon, he would start to conform more. Artemis would in turn start to see Percy as more than just a wayward demigod and would protect him fiercely. They would form a bond that is both teacher - student and mother - son like.
There's not enough information to know exactly who the seven are. They might be characters created specifically for this fanfiction. Or they could be based on existing characters from the original story that Percy is from. Maybe they are a group with a particular purpose, like protecting Percy or helping him on a new quest. Without reading the fanfiction, it's all speculation.
I'm not sure exactly what this fanfiction is about as I haven't read it. But it might be about a group of seven characters seeing Percy's scars. Maybe it's set in a fictional world where Percy has gotten those scars through some kind of adventure or battle.