I'm not sure. I've never had anything ship on holidays or weekends, I've only had a few packages be in transit. I'd give it until Monday when everyone is at work. I could be wrong, but certain departments could be closed preventing billing and shipping.
I pre-ordered digitally so I can't say for sure. I would recommend calling them just to make sure everything is fine with your order. I had issues with GameStop and my card company in the past, so it wouldn't hurt to make sure everything is fine in your case.
Good Luck
Exact same thing happened to me when I Pre-ordered GTA 5.
Don't worry,you SHOULD get it on time.GTA 5 was delivered to me a day before(if I remember correctly)
I dont know about shipping I picked mine up at Gamestop itself. But just FYI be ready for a long download. The DVD only has a couple of Gigs on it the rest of the game you have to DL from steam and its a total of 26gb for the whole game.