You can. Not ideal, but you can. Not ideal because home stereo equipment is designed to make music sound good. Studio monitors are designed to be accurate. Its possible you could make some bad mix decisions based on what you hear being colored by both the speakers and the stereo amp.
That being said, use what you have and make the best of it. Keep the cables as short as possible to avoid static from the cables. You are going from a balanced connection at the audiobox, to an unbalanced connection on the stereo. Balanced connections/cables use one of the wire conductors to shield against noise like this.