No, it is not possible to create a wave without oscillation. Oscillation refers to the repeated back-and-forth or up-and-down motion of a medium or an object. Waves are a result of this oscillatory motion propagating through a medium or space.
In order to create a wave, there must be a disturbance or energy input that causes the particles or elements of the medium to oscillate. This oscillation then leads to the transmission of energy from one point to another, forming a wave.
For example, when you throw a stone into a calm pond, the impact of the stone creates ripples that propagate outward. The water particles near the point of impact oscillate up and down as the energy from the stone's impact is transmitted through the water, creating a wave.
Whether it's a water wave, sound wave, light wave, or any other type of wave, they all involve some form of oscillatory motion. So, waves require oscillation as an essential component of their formation and propagation.