Yes, there are quite a few. You can start by looking on Archive of Our Own (AO3). There are many talented writers in the Arcane fandom who have created interesting stories about Jinx and Silco's relationship. Some fanfics might explore their dynamic in the context of the show, like how Silco influenced Jinx's development.
One interesting fanfiction could be where Silco tries to protect Jinx from her own self - destructive tendencies. He might use his influence in the undercity to keep her safe while also trying to understand her chaotic mind.
AO3 (Archive of Our Own) is a great place to start. It has a large collection of fanfics for various fandoms, including Arcane which Jinx and Silco are from. There are filters you can use to narrow down your search specifically for Jinx x Silco fanfics.
Another way is to join fan communities dedicated to Arcane (the show they are from). On platforms like Reddit or Discord, there are often threads or channels where fans share and recommend their favorite fanfictions. You can ask for Silco x Jinx specific ones and get some great suggestions from other fans who have similar interests.
I don't have the precise release date of Jinx as a manhwa at hand. You might want to check reliable manga or manhwa databases for accurate information.
The update schedule for the Jinx manga can vary. You might want to check the official website or social media channels of the publisher for the most accurate and up-to-date information.