I was an undergrad at TCD and I got into Oxbridge for postgrad so yes it is possible, if not a regular occurrence. You can get into Obridge from any university. There are many from TCD that progress on to Oxbridge every year and vice versa, there are Oxbridge people in TCD too. Most lecturers are well used to giving references for Oxbridge too. When in TCD I met students and lecturers who've previously studied or worked, or vice versa progressed onto the brand name universities all over the world; including Oxbridge, LSE, Harvard, UC Berkely, Vanderbilt, Columbia and Bernard, and millions of other examples. Going to TCD, though it is the only sister university to Oxbridge, it doesn't really give you any real advantage to getting in, it is all about grades, experience, references, research interests lining up etc. People who go to Oxbridge for UG level don't get into it for PG level for instance. Fun fact if you go to TCD a few years after you graduate you can pay a fee and get your bachelors upgraded to an MA from TCD or Oxbridge. People who do this are seen as nobs though lol