Yes, you can link your Facebook to Idle Miner Tycoon to see your friends’ progression and join them in Expeditions!
Please note that connecting to Facebook will not save your game progress! To do this you must be connected to Google Play Games or Game Center in the game Settings menu.
To connect with Facebook:
While in any mine, tap the icon with two little heads near the top right of the game screen
If you do not see this icon, try playing the game some more (unlocking more mineshafts, for example) in order to complete the full game tutorial and unlock all early-game buttons
In the bottom left corner of the screen which appears, tap the two little heads icon again
Tap the Facebook icon which appears
Follow the on-screen instructions and log in to Facebook if needed
Allow Idle Miner Tycoon the requested permissions to connect to your Facebook account
Now you can add friends to get a permanent boost for your mines, and you can also see these friends on leaderboards & in your mines to compare your progress!