No, a typical window air conditioner is designed to remove heat from the room it is installed in and release it to the outside environment through a single set of coils. It cannot simultaneously blow cold air out of one side and hot air out of another side to cool one room while heating another.
The cooling process in a window air conditioner involves the following steps:
Air Cooling: The air conditioner takes in warm air from the room and passes it over cold evaporator coils, which absorb the heat from the air. This process cools the air, and the cooled air is then blown back into the room to lower the temperature.
Heat Release: The absorbed heat from the warm air is transferred to the refrigerant circulating within the air conditioner. The refrigerant becomes a high-pressure, high-temperature gas.
Heat Dissipation: The hot refrigerant gas is then sent to the condenser coils located on the back or sides of the air conditioner. Here, the heat is released to the outside environment, and the refrigerant condenses back into a liquid state.
Since the cooling and heating processes occur within the same unit and utilize the same set of coils, it is not possible for a window air conditioner to blow cold air into one room while simultaneously blowing hot air into another room.
If you need to cool one room and heat another simultaneously, you would require separate cooling and heating systems or utilize devices such as portable heaters or fans for heating or cooling specific areas as needed.