Object? What Object? That one? My jaw certainly dropped :)
On a serious note. Yes, you can do that to
rigid physics objects. The
Rigid Body type can be switched on a timeline (
Rigid State).
You can have Static or Kinematic type at frame 1 and then switch to Dynamic at whatever frame you need the *object* to start falling.
After setting up, or changing
Rigid State make sure to delete Animation clip for your object.