NO, it is not finished.
The anime finished after the manga:
Anime finished: June 14, 1986
Manga finished: September 10, 1974
... But 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: July 21, 1983
Anime - Sequel
Release date: June 14, 1986
Hadashi no Gen tells the story of Gen Nakaoka, a spirited young boy living in Hiroshima during the final months of World War II.
As Japan faces increasing hardship and devastating bombing raids, Gen and his family struggle to survive amidst growing scarcity and uncertainty.
They hold onto hope that the war will end soon and that their city will be spared the worst, unaware of the impending tragedy that awaits them.
The anime focuses on their daily lives and resilience in the face of unimaginable circumstances as the shadow of a world-altering event looms over Hiroshima.