No, sound waves themselves are not subject to time dilation. Time dilation is a phenomenon predicted by Einstein's theory of relativity, which states that time can appear to pass at different rates depending on the relative motion of observers and the gravitational field they are in.
Time dilation occurs at high speeds or in strong gravitational fields, where the perception of time can be different for observers in different frames of reference. However, these effects primarily apply to the measurement of time itself and not to the propagation of specific waves, such as sound waves.
Sound waves, on the other hand, are compressional waves that propagate through a medium, such as air, water, or solids. Their speed is determined by the properties of the medium and is not influenced by the relative motion of observers or gravitational fields. Therefore, sound waves do not experience time dilation effects as described by the theory of relativity.