No, as Walter said, it's moving with the wind, i.e. it has the same speed as the wind. It's only if there's a sudden gust that you would see anything flowing over the balloon.
I took part in a balloon experiment a couple of years back, essentially a weather balloon with several cameras, including one pointing upwards - we could watch (after we retrieved the cameras later) hours with footage of the balloon itself. There were various loose threads etc, and I assure you - there wasn't much movement! Occasionally there would be a little gust, when that happened the payload would swing around a little bit, but for the most part it was very quiet. Particularly at the highest altitudes.
