No, Drukair has no scheduled flights out of Dublin. However, Drukair does fly out of New Delhi Indira Gandhi Intl. There are also other airline options to choose from if you still want to book a flight from Dublin. Air India, for example, is an airline that flies out of Dublin on a regular basis.
Trashigang Yonphula is the most popular airport that Drukair serves, followed by Paro and Kolkata Netaji S. Chandra.