Which of the following groups does not have any members that can glide or fly?

Cyclostomata does not have any members that can glide or fly. They include lampreys and hagfishes which have elongated, round, eel-like bodies.

In phylum Arthropoda, the order Insecta includes animals who possess a pair of flying appendages/wings, e.g., cockroach, butterfly, beetle, etc.

In class Mammalia, bats can fly with the help of patagia. 

In class Pisces,  the flying fish Exocoetus has wing-like fins that allow it to glide for long distances above the water's surface.