NO, it is not finished.
The anime finished before the manga:
Anime finished: September 22, 1992
Manga finished: August 05, 1997
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Here you have all the anime relations we detected ordered by release date, so you can see the reason for this status in context and also use it as watching order.
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Anime - Base
Release date: April 11, 1981
Anime - Adaptation
Release date: October 19, 1991
Jarinko Chie centers on a resilient and resourceful ten-year-old girl named Chie.
Set in the vibrant and culturally distinct city of Osaka, the story follows Chie as she navigates the challenges of running her family's diner.
Despite her young age, Chie takes on significant responsibility while dealing with her unemployed, yakuza father and the absence of her mother due to their separation.
While the premise might suggest a somber tale, the anime is ultimately a lighthearted comedy that explores Chie's daily life and the colorful characters around her.
It's a story about family, resilience, and finding humor in unexpected places within a unique cultural setting.