Well in some aspects of the show. it shares some few similarities of the movie and the anime of how they use Katana in fighting. While Kill bill is about a female assassin "Beatrix Kiddo" while the anime follows as Tanjiro, Nezuko and Inosuke.
Are they meant to be inspired?
While Kill Bill is a classic 2000s movie by Quentin Tarantino and Demon Slayer Anime series is a 2019 show