Yes, there are quite a few out there. You can start by looking on popular fanfiction websites like Archive of Our Own. Just search for 'Deku and Uraraka kiss' and you'll likely find some interesting stories.
Uraraka and Deku do get together in the manga. It happens as their friendship deepens and they face various challenges together, leading to a romantic connection.
The exploration of their insecurities is a theme as well. Deku might worry about being a worthy hero for Uraraka, and Uraraka could be insecure about not being strong enough compared to Deku. Fanfics often deal with how they overcome these insecurities and grow closer as a result.