From a practical viewpoint, it should work, but may not be allowed. Installation instructions would dictate. Often, the manufacturer calls for a dedicated circuit for their appliance. If so, adding a branch would mean it was no longer installed per the manufacturer's instructions, thus, not allowed by code. Also, in a basement, a change like this would require the circuit to be GFCI protected today (i.e, brought up to current code). You could do this either with a receptacle or a CB.