App in question is OsmAnd. It might have "share" thing buried inside app's "cloud" section, but I doubt it works without the, well, cloud. Also, different apps having their unique and quirky share mechanisms sounds like too much for user to keep track of. Or do you mean android's local, i.e. inter-app file-share mechanism?

https://developer.android.com/training/secure-file-sharing/s...

This one is there, and that's exactly how I was handing over the file between osmand and BT/WA.