Wiktionary
have a crack at
vb. To attempt (something); to try to do (something).
Usage examples of "have a crack at".
For the first time I almost think I have a crack at making it before Mavra.
He'd come out to Los Angeles after his career in professional wrestling had come to a premature conclusion, half-thinking he might have a crack at acting.
I was in bed with Danuta and we were going to have a crack at making love.