Can polarity be reversed to effectively reverse the output of its intended/motored function?
It all depends on the type of motor.

For a permanent magnet DC motor swapping the wires will reverse the direction. However that is unlikely to be what you are dealing with in a simple mains powered device.

For a "universal motor" or a DC motor with electromagnetic armeture you would have to swap the wires of the field but not the armature or the armature without the field. This may or may not be tricky depending on the physical constructrution

For AC induction and synchronous motors there may be a way to do it by rearranging windings and/or capacitors but the exact procedure needed will depend heavilly on the details of the motor.