Can you trade in a car that you have a Drive Time (DT) Loan on at another dealership?

I have a car loan through Drive Time (DT Financial Corp) and i was entertaining the idea since my credit has improved drastically of getting a new car. My question is if i went to another dealership like Ford, Honda, Chevy etc. and I used the car as a trade in, will they apply the balance i still owe from the DT to the new loan, or because it is a Drive Time loan they won't do this like a traditional car loan?