YES, it is finished.
The anime finished after the manga:
Anime finished: January 03, 2004
Manga finished: July 14, 2003
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
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: October 10, 2001
Anime - Sequel
Release date: January 03, 2004
Hikaru Shindou, a seemingly ordinary boy, accidentally awakens a spirit named Fujiwara no Sai while exploring his grandfather's attic.
Sai, a go master from the Heian Era, possesses Hikaru and uses him as a vessel to continue playing go, aiming to achieve a legendary level of skill.
Initially uninterested, Hikaru reluctantly agrees to play, guided by Sai's expert instructions.
However, Hikaru's encounter with the gifted young go player, Akira Touya, sparks a nascent passion for the game within him.
The anime follows Hikaru's journey as he begins to learn and understand go, driven by Sai's ambition and his own growing rivalry with Akira.