The level 2 Wizard Enchantment tradition feature, Hypnotic Gaze, does the following:
Starting at 2nd level when you choose this school, your soft words and enchanting gaze can magically enthrall another creature. As an action, choose one creature that you can see within 5 feet of you. If the target can see or hear you, it must succeed on a Wisdom saving throw against your wizard spell save DC or be charmed by you until the end of your next turn. The charmed creature’s speed drops to 0, and the creature is incapacitated and visibly dazed.
Would a person affected by Hypnotic Gaze scream for help?
From my reading of the ability, there is nothing preventing the charmed creature from realizing its condition and screaming for help.