Yes, all wavelengths of light travel through space at the same speed. This speed is a fundamental constant of the universe, known as the speed of light, and is approximately 299,792,458 meters per second.

Important Note: While all wavelengths of light travel at the same speed in a vacuum, they can travel at slightly different speeds through different mediums (like air, water, or glass). This difference in speed is what causes the phenomenon of refraction, where light bends as it passes from one medium to another.