no, you can, but you need to flush the system.. which, without a machine, entails exactly one buttload of fluid, a couple buddies and some fancy footwork..
and somewhere to dispose of the spent fluid properly..
you pop the cooler return line off, clip a pair of visegrips onto the rubber hose to keep it pointed into the drain pan, have about 16-18 quarts of fluid uncapped & ready to go, get a buddy to fire it up and pay attention, and another buddy to pass you quarts of fluid as it bleeds into the pan