Yes, there are some. You can try searching on fanfiction - specific websites like Archive of Our Own. However, keep in mind that the amount might be relatively limited compared to more popular pairings in the Hetalia fandom.
One common theme is reconciliation. Given the real - world situation between North and South Korea, fanfictions may explore the idea of the two personified countries coming together and resolving their differences.
I really liked 'The Unseen Bond'. It shows the reader as an exchange student who ends up befriending North Korea. The fanfiction delves deep into the cultural differences and similarities that they discover. It's not just about the romantic aspect but also about mutual understanding and friendship that could potentially lead to something more. The description of North Korea's character is quite accurate to the Hetalia style, with his pride for his country and his somewhat reserved nature.
South Korea and Beihan referred to the relationship between South Korea and Beihan Village. Beihan Village was located between the mountains and the basin in the west of Taiyuan. It was an ancient village. In the Taiyuan dialect, the pronunciation of Han and Han was the same, so North Korean Village and South Korean Village had a misunderstanding in pronunciation, which eventually evolved into Beihan Village and Nanhan Village. In addition, there was also a movie, The Spy Gone North, which involved the relationship between South Korea and North Korea. However, the search results did not provide a clear answer to the specific meaning or background information of the North Cold in South Korea.
Cultural exploration is also prevalent. The fanfiction may explore how the two cultures influence each other. For example, how Chinese architecture might inspire South Korean architecture in the fictional story, or how South Korean pop culture could have an impact on Chinese youth culture.
One common theme could be the exploration of their relationship in a more amicable and cooperative way. For example, imagining them working together on cultural exchanges or environmental projects.
One possible love story could be about a North Korean artist who meets a South Korean music producer during an international cultural exchange event. They initially have different views due to their upbringing in different parts of the divided peninsula. However, as they start to collaborate on a musical project, they discover their shared love for music and gradually fall in love. Their relationship becomes a symbol of hope for the reunification of the two Koreas, showing that love can bridge the gap between the two regions.
One popular type of 'hetalia south korea x china fanfiction' might involve cultural exchanges between the two characters. For example, they could explore each other's traditional festivals. South Korea might introduce China to the beauty of Hanbok and traditional Korean music, while China could share the richness of Chinese calligraphy and tea culture with South Korea in the fanfiction.
One interesting fanfiction could be about America and South Korea going on an adventure together. They might explore different cultures within the Hetalia universe, like visiting historical sites in both their 'countries' and learning more about each other's traditions.
There can also be themes related to self - discovery. The character of Fem South Korea might be on a journey to discover more about herself, her identity within the Hetalia world, and how she fits in with the other characters. This could involve dealing with insecurities, learning about her own strengths, and growing as a character. It might also include her coming to terms with her own cultural heritage and how to represent it in different situations.