Koreatown, Manhattan, did not exist during the Korean War, which took place from 1950 to 1953. The establishment of Koreatown in Manhattan began much later, in the 1980s. Therefore, there is no historical connection between Koreatown, Manhattan, and the Korean War.
If you are interested in other historical aspects of Koreatown or its development, please let me know, and I can help with that information. Alternatively, you may want to ask about another topic related to the Korean War or any other subject of interest.