No, non-uniform motion cannot have zero acceleration. Acceleration is defined as the rate of change of velocity with respect to time. If an object is moving with non-uniform motion, it means that its velocity is changing. Therefore, there must be an acceleration acting on the object.

Acceleration can be zero in the case of uniform motion, where the velocity of an object remains constant. In uniform motion, the object covers equal distances in equal intervals of time, and there is no change in its velocity, thus resulting in zero acceleration. However, in non-uniform motion, the velocity is changing, so there must be a non-zero acceleration involved.