As yer man said “a good puzzle would be to cross Dublin without passing a pub”. A better puzzle would be why anyone would think this a good idea or profitable use of their time. That said, avoiding Davy Byrne’s is generally sound advice and never more so than today when it will be filled with jackanapes squawking about gorgonzola sandwiches.
Nevertheless, there’s a fellow on the internet who claims it can be done. Depending, mind you, on your definition of “across Dublin” and, indeed, “pub“. I suspect, alas, that the open source maps he’s using are incomplete and that his route runs into trouble in the Harcourt Street area. Nevertheless it’s a valiant effort and to be commended. I think.