No. surface waves on the surface of water is transverse in nature. It has crests and troughs. Compression and rarefaction will be in longitudinal wave. example sound waves.
There are four types of seismic waves, the P-wave, S-wave and the Love and Rayleigh waves. Of these four types, the P-wave is a longitudinal / compression wave.
As a sound wave travels it compresses the air particles around it together in order for it to travel because a wave cannot travel if the matter it uses isn't connected.