It's not fake but it's not real either.
Kobe jumps besides the car but not over the car. You will notice it when you pause the video while he's jumping. He's clearly in between the camera and the Aston Martin car.
He wouldn't risk his life jumping over the speeding Aston Martin car.
Kobe can jump over the car and clear it if he wanted to but it's very dangerous and too risky.
