Probably not. Fans are usually attached to the original character relationships, and Percy and Annabeth's relationship is a significant part of what makes the story so appealing. A fanfiction where Annabeth cheats with Luke goes against the grain of what fans expect and enjoy, so it's likely to have a very limited following.
I think it's not a very pleasant fanfiction concept. The relationship between Percy and Annabeth is built on trust, friendship and love through many adventures. Luke, on the other hand, is more of an antagonist in their story. The idea of Annabeth cheating with Luke just seems to undermine all the development of Percy and Annabeth's relationship. It's like taking a sledgehammer to the carefully crafted emotional architecture of the original story.
Well, it's possible that such a fanfiction exists given the creativity of fanfiction authors. They like to experiment with different relationship dynamics. But considering the popularity and the nature of Annabeth and Percy's relationship in the source material, this would be quite a shocker. It could also attract a lot of criticism from fans who are attached to the original relationship, while others might be interested in seeing how such a different plot would unfold.
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.
In most fanfics, this is often just a fictional and sometimes out - of - character plot device. There's no real evidence within the official Percy Jackson canon for such a thing, but in fan - created stories, it could be based on the author's desire to create drama. However, it goes against the core relationship we know from the original books.
One great 'Percy, Annabeth, and Luke' fanfiction is 'The Bonds of Prophecy'. It delves deep into their complex relationships. Percy's loyalty, Annabeth's intelligence, and Luke's inner turmoil are all explored in a really engaging way. The story also has some great action scenes that keep you on the edge of your seat.
One great 'Percy, Luke and Annabeth Fanfiction' is 'The Lost Hero's Tale'. It really delves into the complex relationships between the three characters. It shows how Percy's loyalty, Luke's conflicted nature, and Annabeth's intelligence interact in different scenarios.
Luke might become more enraged. Since Percy has thwarted his plan to do something to Annabeth, he could seek revenge. He might start plotting more devious schemes against Percy and Annabeth, or even their friends.
There might be such fanfictions out there, but this goes against the original relationship in the Percy Jackson series. Fanfictions like this often explore alternative, and sometimes controversial, storylines. However, I don't recommend seeking out stories that break the core relationships in such a negative way as it can be quite off - putting to many fans of the original work.
I'm not sure specifically about this particular fanfiction. Fanfiction can cover a vast range of scenarios, and while this is a rather unorthodox and not very positive one in the context of the characters, it might exist in some corner of the fanfiction world. You could try searching on popular fanfiction websites.