[EwanToo]

You can, though it's got a 6 year age limit [1]. They only finance up to $20,000 which rules out a large number of completely new cars anyway.

Vehicles requirements for Xchange Leasing program:

    2009 or newer
    75,000 or less miles
    no salvage, rebuilt or flood vehicle titles
    4 full-sized doors
    minimum of 5 seatbelts (driver and 4 passengers)
    maximum amount financed $20,000 (subject to change)

1 - https://get.uber.com/cl/xchange/