Your first example is a "reverse flick" and not a "J turn" The second example you posted has a "doughnut" in the middle and then a "J turn" near the end. The doughnut and J turn are both most easily accomplished with the handbrake, though you can do them by any method that get's the back end to lose traction and spin out.
The Model S doesn't have a handbrake, it has a parking brake, you wouldn't have the control to do it safely or properly with the parking brake in the Model S.
The "reverse flick" can be accomplished in any vehicle, while driving backwards at a reasonable speed (30-40km/hr) turn the wheel a quarter turn one way, just enough to feel the car start to unbalance that direction, and then quickly a half turn the other way, you'll find yourself quickly facing the other direction. I'd recommend doing it in a very large, and very open parking lot the first time you try it!