No, the speed of sound and the speed of a wave are not always the same thing. While sound is a type of wave, not all waves are sound waves. The term "speed of sound" specifically refers to the speed at which sound waves travel through a medium, such as air, water, or solids. In general, the speed of sound depends on the properties of the medium, such as its density and elasticity.
On the other hand, the speed of a wave is a more general term that can refer to the speed at which any type of wave propagates through a medium or a vacuum. Waves can encompass a wide range of phenomena, including light waves, electromagnetic waves, seismic waves, water waves, and more. Each type of wave may have its own specific speed, which depends on various factors, including the properties of the medium through which it travels.
Therefore, while sound waves are a specific type of wave, the terms "speed of sound" and "speed of a wave" are not interchangeable and can have different meanings depending on the context.