It would be a bit tricky, but not beyond the ability of a competant grad. student.
Even if you got lucky, the exposure would only be tens of microseconds and would be harmless.
You're thinking CW, a Q-switched laser would do the job in nanoseconds.
The bottom line is... This article is a bunch of horse puckey.
Perhaps, but if it did happen. I suspect it was a government or research system such as a GuideStar.
Or some idiot thinking he could see a spot on the moon and hit a plane just right instead.