Hardly, all you have to do is listen to a slightly lower or higher frequency. To be exact: 58536 km/h (spacecraft) divided by 1079252848.8km/h(speed of light) -> So that's frequency shift of 0.0054%
Yeah, I might have been stupid. It has nothing to do with the carrier frequency (I was thinking low frequency vs high spacecraft speed, instead of propagation speed vs aircraft speed).
(If I am wrong please correct me.)