If you were to connect a motor in delta configuration to a 347volt-3phase system would it have the same power output if it were hooked up in wye configuration to 600volt 3 phase??
Yes, provided that the voltage across the windings is the same, and the frequency is the same, there will be no difference. NB the line voltage is root three higher for a star connection to keep the same winding voltage as delta connection. If the frequency changes, change the winding voltage by the same ratio as the frequency change.