我觉得这两者可以互换
Let me have a try at [ for ] it .
e.g.Who'd like to have a try at it?
have a go,好像后面可以加不同的介词,看上下文的
Let me have a go at it,all right?
让我试一试,行 吗
Let's have a go of the rum.'\x09
我们还是去喝杯朗姆酒吧.”
No matter how difficult it is,he is determined to have a go at the experiment.
不论困难有多大,他都决心去尝试一下这个实验.
Matt:Wow!Baby,check out how happily they are shouting!Let's have a go on this!
马特:喔!宝贝,你看,他们喊得多开心 啊 !我们也去玩那个吧!
They then have a go in what is presumably a game of chance.
然后他们尝试了一把,基本上只是去碰碰运气.