NO, it is not finished.
The anime finished before the manga:
Anime finished: July 24, 2009
Manga finished: April 22, 2013
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: October 12, 2007
Anime - Sequel
Release date: February 20, 2009
Kodomo no Jikan revolves around Daisuke Aoki, a fresh-faced teacher facing his first classroom. He quickly realizes that managing third-graders is far more challenging than he anticipated.
One student, Rin Kokonoe, develops an unusual and intense infatuation with him, declaring her desire to be his lover. This creates a complex and uncomfortable situation for Aoki.
The story explores Aoki's struggle to navigate this inappropriate affection while also trying to understand Rin's motivations and help her deal with whatever underlying issues might be driving her behavior. The anime focuses on the ethical dilemmas Aoki faces as he tries to be a responsible teacher in this bizarre circumstance.