They are well on their way to doing that. Stutthof is the first of the Polish concentration camps with is location outside of Danzig selected even before the invasion. By the 15th of September there was already 60,000 prisoners in this camp, mostly affluent Poles, that were eventually executed by the SS. In this camp Professor Rudolf Spanner was stationed. Spanner also owned a small soap factory in Danzig and in 1940 figured a way to make soap from human fat. He called the product of his work "Reines Judische Fett" or "Pure Jewish Fat" (a little different from Dove).
More on this can be found here. Be warned that some of this material is not for the squeamish.