A fan fiction could revolve around them being actors on the set of a movie. There are some mishaps during filming, like a script that keeps changing. Through all the chaos, they rely on each other for support and eventually realize their feelings for each other off - set as well.
Perhaps Emma Roberts' character has a secret power that she doesn't know about until a certain moment in the story. This power ends up saving Evan Peters' character from a life - threatening situation, which completely changes the dynamic of their relationship.
Love and relationships are also very common. Fan fictions often pair her with other actors or create fictional characters for her to have romantic relationships with. It's a way to explore different relationship dynamics for her character.
There's also a fan fiction where Emma Roberts travels back in time. This one plays with the idea of her experiencing different eras and how her modern - day personality would interact with the past. It's a fun read if you like time - travel concepts.