Same day if local or overnight to another state if you are willing to pay the cost.
Unless you absolutely need a car shipped and delivered on the same day or even overnight there are other transport options on how fast can a car be delivered. There are two main types of auto transport speed. Transport options include standard auto transport and expedited auto transport.
Since shipping a car to another state overnight is likely to be too expensive, your next fastest auto transport option would be expedited auto transport.