Can I? You be the judge, here's the data.
I'd argue that, with a micrometer in hand (and not a caliper or a ruler) anyone should be able to ... after all, micrometers typically give you 0.0001" or 0.00005" resolution. Then, if you take multiple readings on each sample (I took 6 readings on each of 9 bullets) any noise that might be in the measurement system goes down.
By the way, while it may be true that the 0.0004" is within the tolerances for most makers, that tolerance is probably lot to lot variation ... and for the sloppy ones it might be bullet to bullet variation, but I have NEVER seed that kind of variation within a single bullet.