Yes, they have a handful from airports (some regional) in Europe such as Geneva, Stockholm, Oporto, Nice, Warsaw, Barcelona, Rome, Budapest, Gdansk, Frankfurt, Dublin plus a few others. The airport has plenty of capacity to take further flights too.
As 'Snow1964' has confirmed, being held at the M&S Arena which for clarification is next to the Albert Dock complex and the 'Three Graces' (Pier Head). As for rail, there is hardly extra capacity anyway especially when you are looking at Avanti, TPEx and Northern, they are all struggling to provide a full service at the moment for one reason or another. Other train providers such as West Coast and LSL may be able to offer a tour from some location to Liverpool during the event but not much else I imagine.
On the bright side, most hotels in and around the area, are filling up fast, nearly full or are full already. I doubt there be any cheap deals on offer now, as I've heard that £600 for one night is one rate currently on offer!