"Aegypti" likely refers to the mosquito species Aedes aegypti, which is a member of the family Culicidae. "Diptera" is a larger order of insects that includes all flies, including mosquitoes, which are indeed classified within this order.
So to answer your question, yes, Aedes aegypti is similar to Diptera in the sense that it is part of this order. Diptera includes various families and species of flies, characterized by having two wings (the name "Diptera" means "two wings"). Mosquitoes, including Aedes aegypti, exhibit many of the general characteristics of Diptera, such as having a single pair of functional wings and undergoing complete metamorphosis.