Of course. Actually, except in hard songs* I find it much harder to have a decent, natural, casual speaking voice that speaks than a female singing voice. I really wish I could record myself to show you, but clearly, my passing looks like this:
Singing voice: 9/10
Official speaking voice (the one for answering the phone at work): 7/10
Casual speaking voice (the one to talk to your friends and family, and the one you use when you feel a strong emotion, and the one you laugh with): 5/10
But since I've never had a single honest and neutral opinion on my voice, I may be wrong all the way. However, my global opinion about my voice right now is that it sounds like a young boy's, not quite a woman's yet.
However, I did ever have one comment on my singing voice, a year ago. "Was that you singing in that office a few hours ago? What was that, English? I was far and I didn't want to disrupt you, so I didn't hear all that well, but it looked good. Your voice sounds... Young. Think we could hear it?" I sadly refused out of shyness, but the fact that I have always sadly been "male" makes the "sounds young" pretty much something not far away from "female".
BACK TO THE POINT, yes, you can sing and pass. I intend to take singing lessons when I have concentration, a successful transition and money, and would love to be an "amateur singer" (not "professional", but you know, do some serious singing and perhaps gain some popularity from covers on the Internet) one day. Or a voice actress. That'd be great. And I think there is a decent chance I can do it.
Singing is fun.
*Hard songs. T_T Posting the link at the end, since the video had been auto-embedded. o_o