I've never produced a play before but I'll have a shot at it.

我从来没有写过戏剧，不过我要尝试一下。

《牛津词典》

Let me have a shot at it.

让我试试看。

《新英汉大辞典》

I'll have a shot at defining my own voice if I may.

如果可以的话，我想试试看，自己定义一下何谓发言权。

youdao

It shows two ducks that have just been shot by a hunter as they fly above the surface of a wide expanse of water.

VOA: special.2010.07.25

They started something that you may have heard of called The Baby Boom, so the birth rate shot way up and everyone wanted a home.

你们应该听说过那时候开始的,所谓的婴儿潮,出生率激增而且每个人都想要一套房子

耶鲁公开课 - 金融市场课程节选

He shot alpha particles which have a charge of plus two.

他入射的阿尔法粒子带有两个正电荷。

麻省理工公开课 - 固态化学导论课程节选

Ron Meshbesher, a veteran criminal attorney based in Minneapolis, thinks Craig might have a shot.

NPR: Craig Fights to Clear His Name, Keep Senate Seat

But the Rams might feel they have a shot at getting him with the sixth pick.

WSJ: Washington Redskins Trade Gives Team a Shot at Griffin

"Versus a year ago, they have a shot now, " Mr. Clayton said of Microsoft.

WSJ: Microsoft Woos App Developers in Windows Phone Push