Yes, the terms can refer to different thing. There are two types of heat pumps (and A/C units in general). There are "air source" and "ground source." Ground source is often known as Geothermal and is much more efficient and sustainable.
Air Exchange could refer to air source A/C (or heat pump) but that is not very likely. Air Exchange is much more likely to refer to any system which pulls in outdoor air and exhausts indoor air to keep the air inside fresher. You hope that if a house has an "air exchange system" in place, that it utilizes an HRV (or Heat Recovery Ventilator) which is much more efficient. So much like a humidifier, an "Air Exchange" system typically has nothing to do with heating or cooling the house, but rather is an optional add-on to keep the air fresher.
A note on sustainability
Some people have installed heat pumps and found adverse effects on their energy consumption and sustainability. It all depends on how warm it is, the cost of electricity (vs gas), and where the electricity is coming from. If you install enough solar to compensate the extra electricity usage, then a heat pump is hands down the best thing to have (especially a ground source). Notice, air source heat pumps don't do well in cold climates (where you need it the most). If you are using elecricity from the grid then it is helpful to know that most grid's are much dirtier than using a high efficient furnace (look for 95% efficient or 90% at the lowest). So if you are considering the environment, it is typically better to use a high efficient furnace than a heat pump unless you plan to offset your energy usage.