Yes, there are quite a few. You can start by looking on fanfiction platforms like Archive of Our Own. There, you'll find a variety of stories that explore the relationship between Utahime and Gojo. Some might focus on their past interactions within the Jujutsu Kaisen universe, while others could be more creative and imagine different scenarios for them.
One common theme is the exploration of their relationship. Since they have an interesting dynamic in the original work, fanfics often expand on how they might interact more closely.
One great 'gojo and utahime fanfiction' is 'The Unlikely Bond'. It beautifully explores their relationship in a world full of magic and mystery. The story focuses on how they start from being just colleagues to developing a deep connection. Another one is 'Gojo and Utahime: A Different Path' which takes a unique approach by showing their adventures outside the typical scenarios we see in the original work.
In many 'gojo and utahime fanfic', a frequent theme is the power dynamic. Gojo is extremely powerful, and Utahime has her own abilities. Fanfics play with how this power difference affects their interactions. Also, the theme of hidden feelings is quite common. They might not show their true emotions openly, and fanfics like to dig into that and bring those feelings to the surface. Moreover, the theme of teamwork and how they can rely on each other in difficult situations is also often explored.
The Gojo x Geto comics often feature intense battles and complex character relationships. The art style is usually quite dynamic and visually appealing.
In many Geto and Gojo fanfictions, the theme of trust is crucial. Their trust in each other can be tested in various ways. Another common theme is the exploration of their past. What made them who they are? How did their past experiences shape their relationship? And the theme of growth, both as individuals and in their relationship with each other, is also often seen.
One of the main themes is the contrast between their personalities. Gojo is more carefree and confident, while Geto has a more brooding and complex nature. Fanfics often explore how these differences affect their relationship. Growth is also a theme. As they face various challenges in fanfics, they grow as characters, both individually and in their relationship with each other. Additionally, the theme of redemption can sometimes be found, especially in fanfics that focus on Geto's character arc.
I really like 'Gojo and Geto: Bonds Beyond'. It explores how their friendship could have developed further if certain events in the original story didn't occur. It's full of emotional moments and great character development. There's also 'The Geto - Gojo Dynamic' which is more of a character study. It analyzes their actions and decisions in relation to each other in a really interesting way.
The connection between Gojo and Geto in the comic is full of twists and turns. They started as comrades but ended up on opposing sides, creating a lot of tension and storylines.
Archive of Our Own (AO3) is a great place to start. It has a large collection of fanfics, and you can easily search for Utahime x Gojo ones using the search bar. Another option could be FanFiction.net, although the interface and tagging system there are a bit different.