Constant torque does lead to angular acceleration, as a net torque results in angular motion changes according to Newton's second law for rotation. However, this does not imply that translational acceleration occurs simultaneously; a net force is required for that. The discussion clarifies that while torque affects rotational dynamics, it does not directly translate to linear acceleration without additional forces. Understanding the distinction between angular and translational motion is crucial in this context. Therefore, constant torque can accelerate an object rotationally, but not necessarily in a linear sense.