If they clicked from your main twitter feed page to your website I don't think you can unless you start adding specific tracking to each url drop. If they clicked on a specific tweet before clicking to your site then you can go into GA and see which twitter url aka specific tweet generated the click.
There used to be a Chrome plugin that you can run with GA called Campalyst that provided tweet lookup where you can match the referring tweet. Unfortunately the plugin is no longer available. I have yet to find something that does the same thing in GA