Yes. The vast majority of the population are being housed in Armenia.
There are estimates of a few thousand that have left Armenia to go elsewhere—Russia or other countries—where they would have familial ties and rights of residence, but the Government of Armenia has been very clear that their goal is to ensure that everyone who wishes to has the ability to return to Nagorno-Karabakh, and anyone who does not choose to exercise that right, would have opportunities to remain in Armenia proper.