The short answer: yes. The long answer: some are safer than others, thanks to features like auto shut-off and overheat protection. Any heater you consider should turn off automatically if it gets knocked over. You should always place your heater on a hard, flat surface, away from water and out of high-traffic areas where a person or pet might bump into it. You should never plug a personal heater into a power strip — only a wall outlet has enough power to handle a heater’s wattage.