Carryfast:
Only if you believe in the physics of more energy out than you put in and that it can miraculously turn 20 degrees C air temp into 50-60 degrees C water temp for nothing. Let alone 0 degrees air temp.
You`re looking at the “wrong” system.
In a closed system energy is neither created nor destroyed.
If, as I said, electricity is used to heat a wire then that is a closed system. It isn`t necessary to look outside, as one form of energy is converted into another.
A heat pump uses electricity to “pump” heat energy from one place to another. It is not being used to convert electrical energy into thermal energy.
Heat pumps work perfectly well taking heat energy from air at minus 10deg C and dropping it to minus 20. Ask any fridge driver!
Heat is coming off of the fridge.
Heat is coming from the back (or sides) of your kitchen freezer. It is taking that heat from summat well below 0deg C.
The closed system you need to look at with heat pumps includes the air being cooled and the air being warmed. The thermal energy there is staying the same in total, as electrical energy raises one, by the same amount the other is lowered.
It isn`t something for nothing.