NO, it is not finished.
The anime finished before the manga:
Anime finished: February 02, 2005
Manga finished: April 01, 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: April 05, 2004
Anime - Sequel
Release date: August 04, 2004
Sensei no Ojikan: Dokidoki School Hours centers around Suzuki Mika, a dedicated teacher at Okitsu High School.
Despite her passion for teaching, Mika faces a unique challenge: her youthful appearance.
Being only 148 cm tall and possessing childlike features, she often struggles to be taken seriously by her students and peers.
The anime likely explores Mika's daily life, showing her efforts to overcome these challenges and prove herself as a competent and respected educator, all while navigating the humorous and heartwarming situations that arise from her unusual situation.