no way. conservation of momentum. you will be flung at a sizable fraction of that 60 mph for a hundred feet or so (until you hit the ground and the law of friction takes over) but the car will scarcely lose velocity.
That was obviously one of the senarios I had in mind, when I referred to a very small reduction in the velocity of the car.
The other scenario, where the cars velocity was reduced to zero in a very short time presupposed a solid brick wall immediately behind the experimenter. Now it is true that the brick wall would ultimately be responsible for the deceleration of the car (if it is possible to speak of a brick wall as "responsible") but the action-reaction of the car-wall combination wwould be mediated through and by the body of the experimenter.
Result: severe compression.
You will be flung at far greater than 60 mph, actually, but the poster is correct about conservation of momentum.