NO, it is not finished.
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 - Sequel
Release date: March 11, 1989
Anime - Base
Release date: September 22, 1990
Tenjouhen: Utsunomiko is a story that takes place before the events of Utsunomiko.
Expect to see the setup for the world and characters introduced in the original series.
It likely explores the origins of conflicts or mysteries present in Utsunomiko.
The anime will probably delve into the backstories of important characters, shedding light on their motivations and relationships.
Essentially, it lays the groundwork for the narrative established in the later series, offering viewers a deeper understanding of the universe and its inhabitants.