NO, it is not finished.
The anime finished before the manga:
Anime finished: March 28, 2014
Manga finished: May 27, 2016
MangaUpdates contains information about the anime adaptation and indicates that it is incomplete.
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Golden Time follows Banri Tada, a freshman law student struggling with amnesia. He's starting fresh in Tokyo, trying to build a new life and forge new friendships.
His life takes an unexpected turn when he meets the vibrant and somewhat eccentric Kouko Kaga. Their encounter sparks a connection that deeply impacts Banri's journey.
The anime explores Banri's experiences navigating college life, forming bonds, and grappling with his lost past. He's essentially trying to define himself and discover what he wants out of life, all while facing the challenges and opportunities that come with this new chapter.
It's a story about second chances, finding love, and the complexities of identity as Banri attempts to create a future he can cherish.