NO, it is not finished.
The anime finished before the manga:
Anime finished: September 28, 2009
Manga finished: January 01, 2010
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
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The story of Tears to Tiara centers on the Gael tribe, living peacefully on the island of Erin, until the Holy Empire begins its aggressive expansion.
When the Empire targets Erin and kidnaps the priestess Riannon for a ritualistic sacrifice, her brother Arthur bravely steps in to save her.
Unexpectedly, the demon king Arawn, who was supposed to be summoned through the sacrifice, appears in human form.
Arawn pledges his support to the Gael tribe, joining Arthur, Riannon, and their companions in a rebellion against the Empire.
Together, they fight to protect their home, while also uncovering secrets hidden within the land that could change everything.