So... is Kujira no Josephina finished or not?
NO, it is not finished.
Why?
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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Synopsis
Kujira no Josephina tells the story of Santi, a young and introverted Spanish boy with a very special secret: he owns a miniature whale named Josephina that only he can see.
Josephina possesses the remarkable ability to change size and even fly, whisking Santi away on fantastic adventures that help him navigate the complexities and difficulties of growing up.
The narrative explores the unique bond between Santi and Josephina, and how this relationship impacts his life as he begins to connect with the world around him and build a relationship with his estranged father.
Ultimately, the anime is about Santi's journey of self-discovery and the changing nature of relationships as he matures and embraces new experiences.