Yes, there might be. You can start by checking popular fanfiction websites like Archive of Our Own (AO3) or FanFiction.net. Just search for 'Percy is Scarred Raised by Apollo' in their search bars, and you may find relevant stories.
Well, if Percy is raised by Apollo, he could be trained in the arts of prophecy as well. This would give him an edge in anticipating future threats. Maybe he would be more in tune with the sun's power, and could use it to boost his strength during battles, much like how Percy already uses water powers but with a solar twist.
The plot could be centered around Percy's identity crisis. Since he's raised by Apollo, he might struggle with whether he should follow Apollo's more flamboyant and carefree ways or stay true to his own nature. He could be exposed to Apollo's many lovers and children, which would make him question his place in this complex family. Additionally, his relationship with other demigods would change. He might be seen as an outcast by some who are loyal to Poseidon, while others might be jealous of his connection to Apollo. This would lead to various adventures where he has to prove himself not just as a son of Poseidon but as someone with a unique upbringing under Apollo.
It could be about Percy having some sort of traumatic experience that leaves him scarred, and Apollo takes him in to raise him. Maybe Percy's experience was related to a battle or some sort of mythical encounter, and Apollo, seeing Percy's potential or just out of kindness, decides to be his guardian.
Percy would likely become more confident in his abilities. Apollo's influence would make him more outgoing and perhaps a bit more self - assured. He'd also probably have a greater appreciation for beauty and the finer things in life.
His character would become more confident in his artistic abilities. Apollo is the god of many arts, so Percy would likely be exposed to music, poetry, and painting. He might be more flamboyant in his actions and speech, as Apollo has a certain charm. For example, he could start using more flowery language when talking to his friends or enemies.
One great Apollo and Percy fanfiction is 'Apollo's Adventure with Percy'. It has an interesting plot where Apollo and Percy team up to face a new threat in the demigod world. The story is full of action and their interactions are really well - written.
One interesting aspect of Percy, son of Apollo fanfiction could be his relationships. He might have unique interactions with other demigods. For example, his bond with those from different cabins could lead to exciting adventures. Maybe he teams up with a child of Athena to solve a mystery that involves both Apollo's powers of prophecy and Athena's wisdom.
There might be such fanfiction out there in the vast world of fan - created content. However, this kind of plot goes against the original relationship dynamics in many fans' eyes. It's important to note that fanfiction can cover a wide range of scenarios, some of which may be controversial or not in line with the general perception of the original story.
Percy would probably be angry at first. He has a strong sense of justice and being kidnapped against his will would make him fight back. He might immediately try to use his water powers to break free or at least create a distraction.