NO, it is not finished.
The anime finished before the manga:
Anime finished: June 26, 2015
Manga finished: September 22, 2016
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: January 11, 2014
Anime - Sequel
Release date: April 10, 2015
Nisekoi centers around Raku Ichijou, a high school student with a secret: he's the son of a yakuza boss.
He's mostly uninterested in that life and more interested in his crush, Kosaki Onodera.
However, his life is turned upside down when he's forced into a fake relationship with Chitoge Kirisaki, the daughter of a rival gang's leader, to prevent a gang war.
Despite their mutual dislike, they must pretend to be in love.
As Raku navigates this forced romance, he also continues his search for a girl from his childhood who holds the key to a pendant he owns, a promise from years ago.
The story follows their comedic and complicated interactions, with new girls appearing who all seem connected to his past.