I started on clarinet, then moved to bass clarinet, and after that, tenor sax. I then took a hiatus from formal music education and took up the fife. And from there, I took up piccolo once I got back into music formally. I was making sounds on the piccolo on day one, after an hour or two of airy noise. The music shop and a flute-playing friend told me to start on flute, but I found it wasn't necessary. I'm not sure everyone could do it, but it's possible.
I also made sounds of my fife almost immediately. I should also note that the first time I played a flute, instrument try out day in the second grade, I passed out. I started clarinet at age eight. I'm in my third year of college now, and started the fife at sixteen and the piccolo about a month ago