NO, it is not finished.
The anime finished before the manga:
Anime finished: December 26, 2006
Manga finished: February 13, 2012
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
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Bokura ga Ita follows Nanami, a high school freshman eager to make friends. She learns about the popular boy, Yano, and despite initially disliking him, finds herself drawn to his personality.
They begin dating, but their relationship is complicated by Yano's past. He's still grappling with the death of his previous girlfriend, Nana, and the circumstances surrounding her death.
The series explores the challenges Nanami and Yano face as they navigate their budding romance. They confront the lingering shadow of Yano's past, struggling to overcome misunderstandings and emotional hurdles while trying to maintain their love for each other.