Do I have to buy a car that is delivered?

Yes, that is how home delivery works. You purchase the car, and it is delivered to you. Carvana is one of the biggest dealers that handles transactions like this. If you are not satisfied with the vehicle you can return in a a week I think and your money is refunded. If you are just checking out vehicles, I suggest you look locally to decide what car you actually want to purchase. To me having a car delivered without actually test driving the vehicle and or touching it before purchase is not something I would do. You can have the vehicle inspected by a third party company if you want to go this route, just an added expense. Home delivery to me would be for those expensive collector cars and not a daily driver like a Cruze.