Answer
No. Both the wavelength and the velocity change by the same factor.
Work Step by Step
The listener is at rest with respect to the source. Imagine that the wind blows from the source toward the listener. This effectively increases the speed of sound, by an amount equal to the wind speed. The new speed of sound is X times the old.
Similarly, the wavelength of the sound waves, the distance that a crest travels during a time period, is increased by the same factor of X.
Sound frequency f is wave speed divided by the wavelength, so f does not change. There is no Doppler effect.
Everyday observations confirm that sound frequency does not change when the wind blows.
