No, Apex Airline has no scheduled flights out of Dublin. However, Apex Airline does fly out of Cairo. There are also other airline options to choose from if you still want to book a flight from Dublin. Egypt Air, for example, is an airline that flies out of Dublin on a regular basis.
Jeddah King Abdulaziz Intl is the most popular airport that Apex Airline serves, followed by Khartoum Intl and Cairo.