At the same time, buying a car is a commercial activity. As long as the car is paid, the owner's name on the car purchase invoice should be the same as your name, whether you buy it yourself or entrust someone else to buy it. When the vehicle is registered, you or the entrusted representative must be present in person, sign the vehicle number and receive the motor vehicle registration certificate.
In short, although you can't go to Beijing to buy a car in person, you can successfully buy a car under your own name by entrusting others to buy it and going through the relevant procedures.