Yes.
Shot hits jug.
Jug sends energy flying in all directions by way of fast moving water.
Energy from shot jug pushes top of barrel down, possibly several inches.
At some point, the springiness of the plastic barrel stops the downward motion, and begins accelerating the top of the blue barrel back toward where it is supposed to be.
Having flown off in all directions, the milk jug and it's water offers no resistance to the springing back up barrel top.
When the top of the barrel reaches it's original position, the inertia from it's velocity wants to keep it moving... so it does
The speed and mass of the upwardly moving barrel top lifts the whole barrel off the ground.
If you look into it, the action on a lot of gas operated guns works on this same principal.