Yes, as long as the vehicle is operable and currently licensed. However, no person who owns or has possession, custody, or control of any vehicle shall place such vehicle upon any street, alley or city parking lot for more than a consecutive period of seventy-two hours - City Code Section 14-3-11(1).
In the event a vehicle is placed or left standing upon a street, alley or city parking lot in excess of seventy-two hours, the community development director may cause such vehicle to be removed from the street, alley or city parking lot in the manner and subject to requirements of the Vehicle Code of the state.