adding a 30A 240 breaker for a new dryer

I recently bought a lg dryer and would like to know if it is possible to add the dryer receptacle to a service panel that has the ground and common bonded? My service panel is located in the house where the dryer will also be located. My main service is located on the side of my garage which is a separate building from the house and there are three wires that come up through the service panel in the house.

thanks nicole