Yes, transverse waves are a type of traveling wave.
In a transverse wave, the particles of the medium vibrate perpendicular (or "transverse") to the direction of wave propagation. Examples of transverse waves include electromagnetic waves (such as light and radio waves) and waves on a string.
In a traveling wave, the disturbance or energy travels through the medium from one location to another. The particles of the medium oscillate back and forth, but they do not undergo a net displacement in the direction of wave propagation. This characteristic allows the wave to propagate through space or a medium without the actual movement of the particles over long distances.
Transverse waves exhibit this traveling behavior, as they transmit energy through the medium by oscillating perpendicular to the wave's direction of propagation. As the wave travels, the disturbance is passed along from one particle to the next, while the individual particles themselves primarily move up and down or side to side.
In contrast, longitudinal waves, such as sound waves, are another type of traveling wave. In longitudinal waves, the particles of the medium oscillate parallel to the direction of wave propagation. The wave compressions and rarefactions move through the medium as particles are pushed together and then pulled apart.
So, while both transverse waves and longitudinal waves are traveling waves, they differ in the direction of particle displacement relative to the wave's direction of propagation.