So... is Nora to Oujo to Noraneko Heart finished or not?
NO, it is not finished.
Why?
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
Nora Handa, living with his adopted sister Shachi after their parents' passing, enjoys a normal high school life surrounded by friends like the studious Michi and the energetic Yuuki.
His ordinary world is turned upside down when he encounters Patricia, a self-proclaimed queen of hell, collapsed in a park.
Patricia's plans to destroy life on Earth are thwarted by her inexperience with it, forcing Nora to care for her and explain the complexities of human existence, including some awkward topics.
The anime follows Nora's unexpected relationship with Patricia as she attempts to understand the world she intended to conquer, and how this encounter impacts his daily life and relationships.