No. One shot missed. Kennedy had a back wound that your theory above doesn't account for.
The Warren Commission believed three shots were fired, based on the vast majority of the witnesses saying that was the number they heard, as well as the three shells being found in the sniper's nest window.
The Warren Commission never took a firm stand on which of the three shots missed. Most 'lone-nutters' have come to conclude that the first shot was the one that missed the limo entirely.
Regarding the other two shots, one hit JFK in the head and two fragments from that bullet most likely caused the damage to the windshield and the damage to the chrome near the visor. The two fragments that caused this damage most likely were the copper-jacket remnants found in the limo after the assassination. James Tague, a bystander, was also struck by a fragment during the shooting, and this fragment was most likely part or all of the lead core of the head shot, as the curb in front of him bore a lead smear and traces of antimony, just as Oswald's bullets.
The other shot (which was most likely the second shot is believed by lone nutters to have struck JFK in the upper back, exited his throat, and gone on to strike Connally in the back, exit his chest, slice through his wrist, and strike Connally in his thigh.
Critics of this shot say that's too much to expect from one bullet, and claim the men weren't aligned to receive a bullet; typically showing a bullet alignment that looks something like the image on the upper right-corner of this page or the next image from the same book:
http://mcadams.posc.mu.edu/sbt.htm
http://mcadams.posc.mu.edu/bogus3.gif
But that is inaccurate. And the correct alignment looks like this:
http://mcadams.posc.mu.edu/sbt-faa.jpg
Note that the lone nutter version is easy to explain and accounts for all the bullets and damage with just three shots and fits the physical evidence. Note that no conspiracy version ever advanced fits anywhere nearly as well. Robert has been asked on a number of occasions to put forward his theory in the detail I just put forth the standard lone nutter version and never has come close to meeting this challenge.