Definitely not. The story clearly shows that James Potter was Harry's dad. Snape had a complex relationship with Harry, mainly due to Snape's love for Harry's mother, but he was not related to Harry in that way.
In fanfiction, Harry Potter as a dad would likely be very protective. He has faced so many dangers in his own life that he'd do anything to keep his children safe. He'd also probably pass on his magical knowledge and skills, like teaching them how to fly a broomstick properly from a young age.
His past makes him very vigilant. Harry has seen the worst of the wizarding world, so he'll be on high alert for any signs of danger around his kids. For example, he might be extra careful about who they interact with, fearing that dark wizards could target his family.
Well, if Snape were Harry's dad in this fanfiction, Harry's isolation might take on a different tone. He could be more conflicted. Knowing Snape is his father, a man he had such a tumultuous relationship with before, would make him question his own identity. He might be more withdrawn as he tries to come to terms with this new family truth, and his relationships with his friends might become strained as he feels they couldn't possibly understand what he's going through.
Yes, there are such fanfictions in the Harry Potter fan community. Some fans like to explore alternative family relationships and storylines, so they create fanfictions where Snape is Harry's father. It adds a whole new dimension to the story, often changing the dynamics between the characters and how events unfold.
One possible plot could be that Harry discovers some new information about his parents that makes him see Snape in a different light. However, instead of handling it calmly, he snaps because of all the pent - up anger and confusion. For example, if he finds out that Snape had a more complex role in his parents' lives than he thought. His snapping could involve shouting at Snape in front of the whole school, which then sets off a chain reaction of events that slowly changes their relationship from one of enmity to something more like a father - son dynamic, full of misunderstandings and reconciliations.
It's inappropriate because it violates the family and relationship dynamics of the 'Harry Potter' world. The series is about friendship, loyalty, and appropriate romantic relationships. This idea completely goes against those values.
Harry Potter and Severus Snape are the central figures. However, the other Hogwarts professors could also be important. For instance, McGonagall. She might be the one who tries to calm Harry down after he snaps at Snape or she could be the one who encourages Snape to be more understanding towards Harry. Then there are the Death Eaters. If the fanfiction is set in a context where Voldemort is still a threat, the actions of the Death Eaters could impact the relationship between Harry and Snape. They could be the catalysts that force Harry and Snape to work together and ultimately strengthen their father - son - like bond.
One common theme is redemption. Snape, who has a rather dark past in the original series, can be seen as redeeming himself through his fatherly relationship with Harry. Another theme is the exploration of family. It shows that family doesn't have to be blood - related in a traditional sense.
Harry Potter's wand was made of holly wood, with phoenix tail feathers as the core. This wand, made by the famous wandmaker Garrick Ollivander, has a special connection to Voldemort's wand (made of ebony and dragon heartstrings), because they both come from the same phoenix tail feather. Harry's wand was about eleven inches long, and it was elastic, which made it very sensitive and accurate when it worked. This wand was very important to Harry, and it played a vital role in his fight against the Dark Arts.
While waiting for the TV series, he could also click on the link below to read the classic original work of "The Legend of Mortal Cultivation"!