Urgent question about car hangers…

Hello, a well-known one asked me if I can pick up a car with a trailer for it with my car, because I have a trailer hitch on it. I’m not sure now because of the trailer load. Lt vehicle papers I can pull a braked 1600 kg. Does the weight refer to the permissible total mass of the trailer or only the actual weight? The trailer it has has has a maximum permissible mass of 2700 kg with a curb weight of 600 kg, the car to be transported weighs just under 1 to. So I have to draw theoretically no more than 1.6 to total weight. Is that ok ? Or not ? mfg Sven