No, you should not use a barbecue lighter or any other open flame to light an electric stove top. Electric stovetops do not rely on an open flame like gas stoves do; instead, they use electric heating elements to generate heat. Using an open flame near an electric stove can be extremely dangerous and lead to accidents or injuries.
If you have an electric stove and it's not turning on or heating up, you should not attempt to use a barbecue lighter or any other flame-producing device to ignite it. Instead, check the stove's power source, circuit breakers, or fuses to see if there's an issue with the electrical supply. If you cannot troubleshoot the problem yourself, it's best to contact a professional appliance repair service to diagnose and fix the issue safely.
Remember, when dealing with any kind of electrical appliance, safety is of utmost importance. Always follow the manufacturer's guidelines and avoid using makeshift methods that can pose risks to your well-being and the safety of your home.