Yes and no. The heat pump can thoroughly cool the first occupied floor of the house. Any bedrooms on this floor will be cooled without issue. Through cooling the first floor, the air is dehumidified and this tends to take the edge off of the upper floors of the building. For homeowners who are unaccustomed to having central air, this is usually enough. For others who like it cold in the summertime, a window unit can supplement the remaining cooling load.
The Double Hybrid produces domestic hot water from heat absorbed in the process of making chilled air. The unit also has a selectable option to produce “free cooling” when making domestic hot water if the temperature outside is above 80 degrees.