No, not all sound waves can be considered as longitudinal or transverse vibrations in air molecules. Sound waves specifically refer to longitudinal waves, which means they propagate by compressions and rarefactions of the medium through which they travel. In the case of sound waves in air, the molecules of air oscillate back and forth along the direction of wave propagation.
Transverse waves, on the other hand, involve oscillations perpendicular to the direction of wave propagation. Examples of transverse waves include waves on a string or electromagnetic waves like light.
While sound waves are always longitudinal in air, there are other types of waves, such as seismic waves (earthquakes) or water waves, that can be both longitudinal and transverse depending on the specific conditions. For example, seismic waves include both longitudinal primary (P) waves and transverse secondary (S) waves. Water waves can exhibit both longitudinal and transverse components, with the motion of water particles having both up-and-down motion (transverse) and back-and-forth motion (longitudinal) as the wave passes through.
So, while sound waves in air are exclusively longitudinal, there are other types of waves in different mediums that can exhibit both longitudinal and transverse motion.