have a shot at

have a shot at somebody   (Australian informal)

to criticize someone It's clear the film's director was having a shot at the government.

See also: have, shot

have a shot at something   (British, American & Australian informal) also take a shot at something (American informal)

to try to do something, often for the first time He's proven himself to be a talented actor and now he's having a shot at directing his first play. (informal)

See also: have, shot