The pictures show a scuff, not a scratch, so yes, it's quite possible to polish it out.
(A scratch is also removable but you have to sand down to the bottom of the scratch to remove it, then polish. The process will leave serious distortion in the view through it.)
There's a brown abrasive powder available to the glass trade for that. It can be used with a felt pad wet or dry. The speed of a polisher comes into play if it's too fast, the heat generated will burn rings into the glass surface.
Any drill will have reduction gears down to 300-500 rpm which is ok.