So... is Kimi wa Houkago Insomnia finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: July 04, 2023
Manga finished: August 21, 2023
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Kimi wa Houkago Insomnia tells the story of two high school students, Ganta and Isaki, who both suffer from insomnia.
Ganta struggles to stay awake in class, while Isaki secretly uses the school's abandoned observatory as a place to catch up on sleep.
An unexpected discovery brings them together, revealing their shared struggle and creating an unlikely bond.
They find comfort and understanding in each other's company, using their secret hideaway to cope with their sleep disorders and navigate the challenges of school life together.