No, EMDR is not a form of hypnotism. Even though you are moving your eyes during EMDR you will remain conscious AND in control at all times. EMDR cannot be done against your will.
Besides eye movements, auditory or tactile bilateral stimulation can also be used to create the same effect. Auditory bilateral stimulation is created by sound alternating from ear to ear. Tactile bilateral stimulation is produced by alternating taps that you can feel.