That doesn’t necessarily mean that each server has permanently run out of space, just that it was full at that moment. Players took to Reddit over the weekend to share that they couldn’t get started in the game as others filled all the NA servers to the brim.
If you’re in the US, you may even struggle to get yourself a digital copy from Square Enix’s store right now. The MMORPG has been riding a fresh wave of popularity that has led to server congestion over the weekend as NA players found themselves in lengthy queue times and unable to fashion new characters. Final Fantasy 14 is having a bit of a moment right now.