Not until you try calling 911 on your current phone while being chased by a serial killer and your current phone does not work.
Until then, I would just wait patiently.
Don't panic yet until Thursday. You could get your shipment info as late as Thursday and still have it by Friday. I was panicking too when I haven't been charged and my order wasn't even sent to processing. Then all of a sudden it happened in less than 24 hours. I was sent for processing around 11pm last night and checked my statement and I saw that Verizon had a pending transaction (it usually takes 24-48 hours for it to go through) so then I figured I'll get it shipped out tomorrow. Then by 10am today, I received my shipment info and it's set to arrive Friday.