So... is Kaichuu! finished or not?
NO, it is not finished.
Why?
The anime finished before the manga:
Anime finished: October 01, 2011
Manga finished: January 01, 2012
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
Watching Order (by release date)
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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Synopsis
Kaichuu! follows Tachikawa Tetsuya, a high school freshman determined to follow in his grandfather's footsteps and become a skilled archer.
His school life takes an unexpected turn with the arrival of a transfer student, Sasaki Gonzaburou, whose identity is shrouded in mystery.
Gonzaburou's appearance is quite different from what everyone expected, and "her" or "his" presence stirs up confusion and curiosity, hinting at secrets yet to be revealed. Tachikawa's archery goals and Gonzaburou's hidden truths intertwine to create an intriguing and possibly comedic high school story.