No, Chongqing Airlines has no scheduled flights out of Dublin. However, Chongqing Airlines does fly out of Ili Yining. There are also other airline options to choose from if you still want to book a flight from Dublin. China Express Airlines, for example, is an airline that flies out of Dublin on a regular basis.
Guangzhou Baiyun is the most popular airport that Chongqing Airlines serves, followed by Chongqing Jiangbei Intl and Zhuhai.