Hard-wired printing should still be available. You may be asked to connect the printer's cable to the new PC in order to configure the wifi connection, but once that's working you should be able to reconnect the cable to the older computer and print from either PC as you like. You *may* find that one or the other computer also creates what looks like a second identical printer in your list of devices -- if that happens, it's most likely that one is set up with the wifi connection and the other as the hard-wired driver.