As of right now: 19:32 GMT - Saturday 25th August, 2013 - It is impossible to log-in to an EU server. It is impossible to even create a character on an EU server.
As of right now: When the Post Man turns up on Tuesday morning with my Final Fantasy XIV Collector's Edition Boxes (1 for me, 1 for GF) I am considering sending them straight back, because there is no point spending money on a game I cannot play.