There's a hangout option that lets you pick activities. I'm not sure if it's part of a pack though. It might be get together? My sim has set up some hangouts. I clicked on the sim I wanted to hangout with and it was an option. You can invite others as well. There's social options, like be friendly, but nothing specific like deep conversations or anything. But you'd have to set it up each time, as it's a one time thing. A club is also a good idea. Probably better to make it a recurring thing.
I think it's a lovely idea though, I hope you can make it work. :)
Maybe a recurring holiday, using seasons? Then have traditions. Do a grand breakfast, then tell stories for the conversation part. Actually, there may even be a singing activity.
Sorry for rambling, I was typing this out as I was thinking it. 😆