No, it is not safe to touch the high-voltage (HV) output of a microwave transformer. The HV output of a microwave transformer carries a significantly high voltage, typically around 2,000 to 3,000 volts.
Coming into direct contact with the HV output can result in a severe electric shock, which can cause injuries or even be fatal. High-voltage electricity can disrupt the normal electrical signals in your body and cause muscle contractions, burns, heart irregularities, and other serious injuries.
Microwave transformers are designed to step up the voltage from the household power supply to create the high voltage required to generate the microwaves used for cooking. They are built with protective measures, such as insulation and safety mechanisms, to prevent accidental contact with the HV output.
If you are experiencing any issues with your microwave or suspect a problem with the transformer, it is strongly advised to leave the repair and maintenance to trained professionals who have the necessary expertise and equipment to handle high-voltage components safely.