At a 90 degree angle it would knock the bullet of its course but at and degree above that I believe yes it would go through the skin probably at twice the speed of a stationary hand
If your talking about heat yes but for the amount of time touching the bullet there would not be enough time to transfer the heat needed to cause damage
If you were to hit the bullet and cause the exact force of the bullet it would change direction with no effect. But if the force of the object hitting it was less then the force measured with the speed of the bullet it would cause damage. Also this all depends on the angle of hitting the bullet...
Finding the landspeed a object needs correlating with its area and weight in volume that a object needs to stay above water looking for the equation and plug in methods