Yes, there is a way to move a powered appliance that's plugged into a wall outlet to another location without it losing power. You can use a couple of methods to achieve this:
Use an extension cord: If the appliance's power cord is not long enough to reach the new location, you can use an appropriate extension cord. Ensure that the extension cord is rated for the power requirements of the appliance and that it is in good condition. Plug one end of the extension cord into the wall outlet, and the other end into the appliance. This way, you can move the appliance while keeping it powered.
Use a power strip or surge protector: If you have a power strip or surge protector with multiple outlets, you can plug the appliance into it. Then, simply unplug the power strip or surge protector from the wall outlet and move it along with the appliance to the new location. Make sure the power strip or surge protector can handle the power requirements of the appliance.
In both cases, it's important to ensure that the electrical connections are secure and that you do not exceed the power capacity of the extension cord, power strip, or surge protector. Be cautious when moving the appliance to avoid tripping over cords or causing damage to the appliance or electrical outlets.