Your not directly but with the pullies you can.
You're*, pulleys*
you also seem to have forgotten the torque penalty when using a gear ratio to increase your speed. the generator needs speed AND torque. if your motor is only capable of outputting a finite amount of power. putting a pulley on it wont have any affect. you'll just bog the motor down and it'll still have the same rotational speed on the input shaft of the generator.
try again.
you can achieve both speed and torque with pullies or use a bigger motor if that is easier but then you use more energy to run it reducing the savings.