I think that you have misheard or misquoted this expression. The phrase 'give a shot in the party' is not normal English, and it does not mean anything. The word 'shot' can mean many different things in many different contexts. We can only explain what this means if you can tell us the EXACT phrase which you heard or read. Dictionary definitions such as the ones which Michelle has given you are useless if the phrase is not quoted correctly.

It's mean ''Drinking kind of a small glass to alchol.Used for the drinking Teqila,Vodka.''.If you want to picture this glass,I can send a link.I am new on this page.I hope I helped. :)

Please show the passage or paragraph where you saw it.

give a shot 可以指：have a try 或者就是：来一杯。 喝一小杯烈酒。如tequila这种酒，喝起来就是一个shot 一个shot的。一小杯一小杯喝。 hope it helps