Can I disconnect the serial port while I have one of my players copying from one drive to another and then reconnect it again later and continue to control the player?

I am currently copying my drive0 from player "A" to the drive0 of player "B" in player B. As long as both players are open, I want to use player A now to copy drive1 to drive1 of player B at the same time but I would need to disconnect the current serial connection since I only have one PC. Can I do this and still reconnect the serial later to finish the copy routine (mount the drives RO)?