Yup, I've gotten that message too for the last hour or so.
I catch up on some e-mail, order a phone (fails)
Read some news, order a phone again (fail again)
Load the dishwasher, order a phone again (fail again)
I'm in Hawaii, so it's only 10:30pm here. I'll keep on trying and if I don't get through tonight, I'll just wait a few weeks and pick one up on my next flight into Honolulu... (No Apple Stores here on the Big Island.)