Yes, you can heat your whole house with a heat pump. Heat pumps are a type of HVAC system that can both heat and cool your home. They work by transferring heat from one place to another, either from the air outside to the air inside your home, or from the ground outside to the air inside your home. Heat pumps are very efficient and can be used to heat your entire home. However, they may not be the best option for extremely cold climates, as they may not be able to keep up with the demand for heat.