NO, it is not finished.
The anime finished before the manga:
Anime finished: February 23, 2011
Manga finished: June 10, 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: October 09, 2010
Anime - Sequel
Release date: February 23, 2011
Kohei Hasekura, the main character, decides to transfer to a well-known school that caters to both junior high and high school students.
This school is located on Tamatsu Island, an island only accessible by boat.
Shortly after arriving, Kohei learns a surprising secret about one of his classmates, Erika Sendo.
Erika, who is in the class next to Kohei's, is a vampire.
The anime follows Kohei's life and interactions at this unique school after discovering this truth.