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