Is it possible to add compose to a kotlin-native project that targets macOS?

Yes, but it is very experimental with a very low priority.

In the chatt-mpp example there exist a directory in :shared that targets macOS. How does it work? I’m unable to run it on my macbook.

Your should consult https://github.com/JetBrains/compose-multiplatform/blob/master/examples/chat/README.md (The last two sentences at the end).

Ahh, that was what I was missing… Is this the same experimental macOS compose functionality you were referring or is this not true kotlin native?

That’s Kotlin native. The more reliable and functional version on the desktop is JVM.