Yes, I got a shipment notification from ATT. I got a text message from ATT about 1-2AM overnight saying one of my phones has shipped. I also got an email about the same time that provided a FedEx tracking number and link.
This is for the 7 128GB "Just Black" (matte).... it shows it's with FedEx in Texas currently as has been for the past several days.
Order date: 09/09/2016 at 4:10:25 a.m. ET (this was because the AT&T website "went down for maintenance", for me, 2 minutes after the pre-order opened and then when it came back up an hour later it didn't process my first two attempts because it didn't provide any phone options to upgrade too.)
My order for the 7PLUS 128GB JET Black still shows Preparing for Shipment with Delivery window October 14, 2016 - October 21, 2016. That was Order date: 09/09/2016 at 4:15:29 a.m. ET (because my card was declined for suspicious activity and I had to clear that up)