Literally the only thing you needed the disc for on console was to put the client into your XMB. Even on PS3, once you put the disc in to register your game you never needed it again.

When I bought ARR for PS3, we got a PSN code on our Gamestop receipts that allowed us to download a digital version of the client to play during early access. Then after the game actually released and people had their physical copies, they had about a week to actually install their disc memory to the console in order to "register" their copy of the game. It has already been stated that this will be the case for Heavensward. I believe the date given was June 27th, and if you haven't "registered" your copy of Heavensward by inserting the physical copy of the disc then you will no longer be able to play on the early access client.

So to answer your question: Yes even pre-ordering a physical copy you should get some kind of code for a digital version of the game to enjoy early access with, but no your physical copy will not get to you on the 19th. You won't get your physical copy until the 23rd at the earliest, but depending on your retailer/shipping options it could be a day or two later. However you shouldn't get your hopes up about not having to download anything on console, because that isn't true at all. Like Felis said, the disc only has the information for the client (which according to PSN was about 1.6GB). You should expect to have to download anywhere from 10-30GB worth of data in the form of a patch after installing your client, unless SE brings out the 3.0 patch before HW EA.