yes, it’s normal.
The confusion and supply chain issues existed in the Model 3 deployment(they were worse). There are more people trying to buy the Model Y than there are Model Ys to supply.
Also, the supply chain to each State is different. If you’ve fully paid for the car, it’s likely you will be prioritized to receive it before fiscal quarter‘s end.
I will fully pay for the car before they give me an exact delivery day. For the Model 3, payment took a couple of days to complete and a trip to the bank with multiple signatures and a notary. It’s easier now on the Tesla Account page.
My VIN is 118xx and White (default color), so I guess yours will be made a few hours after mine.
If it reduces your stress to pay a day or two before your delivery date. Then stay comfortable. I’m OCD enough to pay a few weeks in advance to try and get it quickest. But your supply chain and mine are not the same.
There is no Tesla Service center in Michigan delivering new cars yet. Having a local Tesla Service Center seems to allow more flexibility and faster delivery (from many forum posts). If you have a local Tesla Service Center with a delivery specialist, call them and ask them when to pay and what they can do for you if you pay early.