No, waves cannot travel through empty space. In order for waves to propagate, they require a medium or material to travel through. This could be a solid, liquid, or gas. For example, sound waves require a medium like air or water to travel through, while seismic waves travel through the Earth's solid interior. Electromagnetic waves, such as light, can travel through a vacuum, but they are not considered to be traveling through empty space. Instead, they are self-propagating oscillating electric and magnetic fields.
