Way, Way Above the Rim

Is it actually possible to fly too close to the sun? Like, we know air gets colder at higher altitudes—picture ice crystals forming on a plane window. Picture snowcapped mountain peaks. If you want to take the conceit to impossible extremes, it’s colder still once you leave the bounds of Earth’s gravity. So what does that mean for Icarus? Did he fly past Venus? Mercury? What temperature do wax wings melt at? Can wings, wax or otherwise, even flap in space?