Not really. According to what I've learned, to feel non-binary, is to not feel identified as either male or female, and, in fact, at the conference I attended, one guy who asked a question introduced himself as non-binary. But that's independent of possible gender fluidity. You can feel non-binary and always feel that way, so your gender doesn't (supposedly) flow.
Non-binary just means you don't ascribe a particular identity to a single masculine or feminine facet. The gender fluid people might describe themselves as "male" one day or "female" another day because they think that gender is a spectrum that is free flowing. The term non-binary applies to everything in the middle of absolute "male" and "female" at the far ranges of the spectrum. Someone feels a bit masculine one day, then might feel more feminine another day.
None of these labels are objective in any sense so the verbiage might not even be relevant. I can't keep up with it, to be honest.
But when LGBT people get angry at people for accidentally "misgendering" them, or when they intentionally try to put people into difficult situations as some political statement, etc., then they're being assholes.
Like this lovely lady?
https://www.youtube.com/watch?v=JdnBV-S-RXk