No, sound cannot travel through empty space without a medium to carry its wave motion. Sound waves are mechanical waves that require a material medium, such as air, water, or a solid substance, to propagate. The molecules or particles in the medium vibrate and transmit the energy of the sound wave from one location to another.
In the absence of a medium, such as in a vacuum or in outer space, sound waves cannot propagate because there are no particles to transmit the vibrations. This is why sound cannot travel in the vacuum of space, where there is essentially no matter to carry the sound waves.
However, it's important to note that electromagnetic waves, such as light or radio waves, can travel through empty space because they do not require a medium for propagation. They can travel through a vacuum and do not rely on vibrating particles to transmit their energy.