Definitely. There are quite a few. A lot of fanfic writers like to cross over different universes, and Percy Jackson and Harry Potter are two very popular ones. In these fanfictions, the idea of Percy being an heir of Hufflepuff can lead to really interesting storylines. They might explore how he'd interact with the Hufflepuff house, its members, and the overall Hogwarts environment.
One possible plot could be Percy discovering his connection to Hufflepuff while on a quest. Maybe he stumbles upon an ancient artifact that reveals his heritage. He then has to balance his duties in the Percy Jackson world with his new - found identity in the Harry Potter world, and deal with the reactions of both his demigod friends and the Hogwarts students.
Another possibility is that Percy is sent to Hogwarts undercover as a Hufflepuff student to investigate some strange magical activity that might be related to the Titans or other Greek monsters. He has to keep his identity as a demigod a secret while trying to fit in with the Hufflepuff house. He could learn a lot from the Hufflepuff way of life, like their patience and kindness, and in turn, he could teach them some things about courage in the face of danger that's different from what they're used to in the wizarding world.
A great fanfiction idea could be that Percy Jackson is mistaken for a Hufflepuff transfer student. He initially struggles to fit in as he's so used to the rough - and - tumble world of demigods. But as he gets to know the Hufflepuff students, he realizes that their quiet strength, determination, and loyalty are just as valuable as the more obvious heroics he's used to. He could then use his experiences in Hufflepuff to become a better leader among the demigods, bringing back the ideas of community and fairness that he learned from his time in the Hufflepuff house.
In most Percy Jackson canon, there is no relation to Thor. However, in fanfiction, anything can be possible. It could be that the author has created a unique crossover where Percy Jackson has some connection to being the heir of Thor, perhaps through some magical or divine intervention that the fanfic writer has dreamed up.
Well, one aspect to consider in this fanfiction could be the character development. Percy Jackson is already a well - established character, but as the heir of Tartarus, he might face new challenges that force him to grow in different ways. Maybe he has to deal with darker powers within himself. Another point could be the world - building. Tartarus is a very dark and dangerous place in the Percy Jackson universe, so how the author expands on that and shows its influence on Percy and the story is important. Also, the relationships with other characters would be interesting. Will his friends still trust him when they find out he has this new 'heir' status? How will his enemies react?
Yes, it can be. It combines two really cool universes, Percy Jackson and Harry Potter. The idea of Percy being an heir of Gryffindor adds a whole new layer of excitement. It allows for interesting crossovers, like Percy using his demigod powers in the wizarding world. It also gives a chance to explore how the characters from both series would interact with each other.
No. Percy Jackson's world is based on Greek mythology, while Voldemort is from the wizarding world of Harry Potter. Fanfictions might try to mash them up, but usually Percy has his own adventures and enemies in his own myth - based universe and is not related to Voldemort's heir. Unless a fanfic writer decides to do some wild crossover and come up with a really out - there reason for a connection.
There's no official connection between them in the original series. But in fanfiction, anything can happen. Some fanfictions might make Percy Jackson cross paths with Voldemort's heir if the author wants to explore a crossover scenario. It could be a really interesting concept, like Percy having to deal with the dark magic of Voldemort's heir in a world that combines Greek mythology and Harry Potter magic.
The 'Percy Jackson Heir of Black' fanfiction could potentially revolve around Percy being thrust into a situation where he has to deal with the implications of being associated with the 'Heir of Black'. It could be that there are ancient prophecies or secrets that tie him to this title. It might include battles against new enemies who are interested in either protecting or destroying the 'Heir of Black' and Percy gets caught in the middle. It could also explore how Percy's friends, like Annabeth, Grover, etc., react to this new development in his life.