I'm sure DoorDash doesn't allow it. But a lot of older people call for pizza the way they've always done for decades, so it's common enough that the pizza places (at least in my low-crime suburban area) have decided to keep allowing it.

They usually have some sort of system where your address is connected with your phone number after your first order, so they must be able to see that you've called X times and paid reliably in the past.