Well, yes. For reference, while I am female and am typically identified as such, if asked I would call myself non-binary.
I didn't care overly whether or not I was treated any differently- I didn't really notice a difference growing up, as I didn't care for anything overly "tomboyish" and my friends were a mix of boys and girls. Still, I preferred to use androgynous nicknames and never thought of myself as a boy or a girl. Sometimes in my teens people guessed I was a boy, and that was fine. I didn't prefer it one way or the other.
For a short while- a couple of months- I thought I might be a trans man. I had just started new medication and felt more present in my body than ever, but after a month or so of getting used to it, I returned to my more androgynous equilibrium. In all of that time I've had my hair long, short, dyed, shaved and I have (and still do) wear whatever I want to, both stereotypically masculine and stereotypically feminine. I have stereotypically feminine interests, and some stereotypically masculine interests. I don't think of them in those terms, but I appreciate society as a whole has certain preconceptions still.
My chest did give me dysphoria, and I was very conscious of that feeling every day. I did have top surgery to feel more comfortable in myself, which has been immensely helpful, and since then I have found I never think about it at all. It was a huge relief to me. I have no desire to make any further changes, but I'm very happy with that choice. These days, gender is simply not something that crosses my mind outside of the time I spend reading this board. In my teens I thought of it often, but I've settled comfortably into myself now.
Ultimately I don't think this is inherently different than any other woman, and I believe many women may feel exactly as I do and still fully identify with/prefer/feel most comfortable with being a woman. I am female and I don't have a problem with other people recognising that, even if in my own head I'd use different words to describe myself. I don't think the feelings I experience are in any way uncommon, though every woman who feels similarly may act on it in a different way.
(Also, I am autistic. I'm sure that has something to do with the whole thing too.)