Yes, Nest thermostat does work with Heat Pump if you have that enabled. Otherwise, you can also use something called "Early On" which you can read about here: http://support.nest.com/article/What-is-Early-On
The basic principle is that Heat Pump is activated automatically for users with the following two requirements:
- Auxiliary (AUX) heat
- Wi-Fi connection
Because auxiliary heat is a rather complex and also expensive solution, I would really recommend checking out the Nest website to see if there is a more efficient or cost-effective set up for your Nest Thermostat.
You can find that information on the Nest website: http://support.nest.com/article/What-is-Heat-Pump-Balance
But, to answer your question: Yes, Nest thermostat does indeed support heat pump.