Hi 4leafclovah, you always have to look at progressed positions in relation to the natal chart. So yes, I suppose it works with progressed as well as natal.
I would however not put too much emphasis on this. After all it is a point and it is debatable if it really brings "luck" or not. just follow it for a few years and see if it really changes your fortune in the different areas of your chart.
Cheers, Starlink