NO, it is not finished.
The anime finished before the manga:
Anime finished: April 25, 2008
Manga finished: February 18, 2011
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 04, 2007
Anime - Sequel
Release date: April 25, 2008
Michiru Kita possesses the unique ability to see "rings of death" around people's necks, indicating their proximity to dying.
She discovers two classmates, Chika Akatsuki and Shito Tachibana, have pitch-black rings, signifying imminent death.
However, she soon learns that they are already dead but kept alive through a deal with Zombie-Loan, a shady organization.
To repay their debt, Chika and Shito must hunt zombies.
Michiru, with her special vision, gets unwillingly involved in their dangerous zombie-hunting missions.