The normal force on an object does not do work if there is no displacement, as work is defined as force multiplied by displacement. However, when the normal force acts between two objects in motion, such as during a push or a collision, it can do work if it is not perpendicular to the direction of motion. The context of the question is crucial, as the term "normal force" can refer to different scenarios depending on the situation. In collisions, the normal force can have both normal and tangential components, which may contribute to work done. Overall, the interpretation of the normal force's role in doing work can vary based on the specific context.