To attempt (to do) something; to take a turn trying (to do) something. Well, I haven't fixed a motor in nearly 10 years, but I'll certainly take a crack at it.You had your chance trying to break the piñata, now let your sister take a crack at it.
take a crack at something
and have a crack at something
tv. to take a try at something. She had a crack at food preparation, but that wasn’t for her. Let me have a crack at changing the tire.