Hardly.
The first shot occurs at near frame 160 of the Zapruder film, the second shot at frame 223 or 224, and the final shot at frame 313.
That means that after the first shot, there was a 3.5 second pause before the second shot. And the gap between the the second and third shots was 4.9 seconds, making a total time of 8.4 seconds. This is hardly a rate of fire of an "automatic weapon", and is easily achievable with a bolt-action rifle like Oswald's.
In fact, despite the claims of countless conspiracy theorists that "no one" has been able to duplicate the shooting that would have been required, in fact numerous recreations have had no problem whatsoever doing so. For example, CBS reconstructed the shooting for a 1975 documentary. Eleven volunteers took three shots each at a moving target using a Carcano rifle, without even doing any prior practice on that model of rifle. Their times ranges from 4.1 seconds (total) to slightly more than 6 seconds, with the average being 5.6 seconds and 2 hits out of 3. Furthermore, the House Select Committee in 1977 did a reconstruction and found that their test shooter could hit all targets with 1.66 seconds between shots.