Actually - if you want to establish your local coordinate system, than you require at least 2 points. You choose one as the beginning of the coordinate system [0, 0, elevation], than measure distance to the second point and this point will have coordinates [0, distance, elevation]. Based on this you may start calculating the other point's coordinates using trigonometry
or measure the points using a total station. The laser scanning should you the exactly same coordinate system and the point clouds should match exactly!
I do exactly the same when I am documenting archaeological research in desert, where is no coordinate system nor RTK GPS available.
Packy