Yes, there might be some out there in the vast realm of fanfiction. However, such themes can be quite controversial as they deviate from the more traditional relationships depicted in the original 'Harry Potter' series.
I think it's a very strange and unorthodox concept. In the original 'Harry Potter' series, their relationship is more of a teacher - student and somewhat antagonistic one.
The 'time - travel' trope is also quite common. For example, Hermione might go back in time and interact with a younger Snape, which can lead to all sorts of new storylines and character developments.
One great Snape and Hermione fanfiction is 'The Unbreakable Bond'. In this story, Hermione discovers a hidden side of Snape during her research in the Hogwarts library. Their relationship starts as a mentorship but gradually evolves into a deep friendship that defies the expectations of the wizarding world. It beautifully portrays their individual characters and how they can complement each other.
Hermione might become more guarded at first. She is used to being independent and suddenly being 'gifted' to Snape is a big change. But over time, she could learn to be more patient and understanding. Snape, on the other hand, might soften a bit. His usual cold exterior could crack as he gets to know Hermione better.
It's hard to say who would be the clear winner. Hermione is intelligent and quick - witted, but Snape has years of experience and a great deal of magical knowledge. If it's a battle of words, Hermione might hold her own for a while, but Snape could use his authority to shut her down.
She might give him cold stares in class. Hermione is not one to shy away from showing her emotions through her expressions. So, every time Snape is in her line of sight, she could fix him with a withering glare that clearly shows her displeasure.
One possible reason could be a misunderstanding. Maybe Hermione thought Snape was involved in some dark plot against her friends. In the wizarding world, there are often secrets and deceptions, and if she got some false information, it could lead her to take such drastic action.
Well, it often starts with a lot of misunderstandings. Snape has his own preconceived notions about Hermione as a Gryffindor student, and Hermione has her own view of Snape as a strict and often unfair teacher. However, as they live together, small moments start to change their relationship. For example, when Hermione is having trouble with a particularly difficult spell, Snape doesn't scold her but instead patiently guides her. This gradually builds trust between them, and they form a unique bond that is different from the typical student - teacher relationship or even a normal father - daughter relationship.
A possible way to develop their relationship is through a magical owl - related research project. Hermione, being the studious one, is eager to participate, and Snape is in charge. As they work on the project, they exchange ideas and arguments. Over time, Hermione starts to respect Snape's vast knowledge, and Snape begins to appreciate Hermione's fresh perspectives. This could transform their relationship from a hostile one to a more amicable one.