Yes, the usage of "neither... nor" is natural in this sentence. There is a grammatical mistake however, as "procrastinator" needs an article-- specifically, it needs to be "a procrastinator" here.
I'm neither a procrastinator nor spontaneous.
The reverse order would also work.
I'm neither spontaneous nor a procrastinator.
Content-wise, I am skeptical that "not being a procrastinator" is addressed in the following sentence... scheduling things and planning the day have nothing to do with procrastination. That said, it's still a natural sentence, and would be idiomatic to a native or fluent speaker.