I see a some discussion around Flow in this channel. Given my zero experience with Flow, is there any intrinsic connection between Compose and Flow?

No, there is no direct connection, compose just provides support for flow out of the box (same as for RxJava and LivrData)

Not about Flow specifically, but Adam pointed out that compose and coroutines have an interesting relationship: https://kotlinlang.slack.com/archives/CJLTWPH7S/p1597343950088100?thread_ts=1597342842.082100&cid=CJLTWPH7S