No, it is not safe to drive with open headers. When you remove the muffler from your vehicle, the exhaust gases are no longer being properly controlled and can escape at high speeds. This can be extremely dangerous for you and other drivers on the road. Not only will the noise be incredibly loud, but the hot gases can also cause burns if they come into contact with your skin. If you're looking to make your car louder, there are much safer ways to do so than driving with open headers.