Can a Alt/Az goto track aircraft?

What with all the controversy of pilots reporting being painted by green
lasers, for far longer than a split second.
I am wondering if this is within the capabilities of amateur astronomer
equipment? e.g.
could a LX-90 with a green laser mounted on it, be capable of doing such a
feat?
I've never owned a alt/az goto, and I don't know if such hardware could be
fast and smooth and accurate enough to pull this off, i.e. track the cockpit
say for 5 or 10 seconds?
It seems unlikely to me..If I had to bet, I'd point my finger at some
black-ops BS, after all, it's common practice for military pilots to
practice EW and target civilian"bogies", and maybe they are yet again
crossing the line?
Thoughts?
Orion.