Can a family member add currently playing song from my playlist?

To be clear about the above title, there are so many overlaps with family sharing concerns, there doesn't seem to be a direct answer to my question. My situation: I own and share Music's family plan. My speakers are hooked up and linked to the playlists off of my computer, not theirs. As music is playing (say, off of an Apple radio playlist), I can easily add that particular song to my playlist on my computer. What I can't decipher is how any other family member, who is hearing the same song, would be able to add the "Currently Playing" song to their playlist like I can. Is there a way, other than sharing each song as it comes along?