Short of pollen causing an asthma attack or eating something poisonous growing on the plant it seems unlikely. Lilies for example are extremely poisonous to cats, but they're not going to kill a cat through lack of oxygen. Not only is the plant releasing oxygen during the day from photosynthesis, it emits more than it uses overnight.
You're actually in more danger from another person sleeping in the room. The resting oxygen consumption of an average adult male is about 3.5 ml/kg/min, so unless the room is packed with plants, if someone else doesn't use up enough to kill you overnight the plants are unlikely to, simply as a matter of mass.
What might cause a problem is if the CO2 levels get above 4%, at which point you may have trouble with toxicity effects, but again, another person causes a higher rise in the levels than a plant.