have a shot at

have a shot at someone (Australian, informal)

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

See also: shot

have a shot at something (British, American & Australian, informal, 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.

See also: shot