Can you wire a 3 phase 690 volt delta star motor to 480 volt 3 phase with out harming the motor?

Depends on the motor and the load on that motor. If the motor is loaded to its capacity, it will draw the same amount of power as it would on 690 volts - which will result in ( 690/480 = ) 144% of normal current, which will thermally damage the motor, or will trip overload protection.