Basically yes, but there are several reasons against cycling from south to north. The most important reason is that in some longer sections the elevation profile from north to south is more advantageous. Also the direction from which the winds blow most often argues for cycling from Germany to Italy and not vice versa. Therefore, the cycle route is only advertised in one direction, the information material presents the route, the cycle shuttle over the passes sometimes only go from north to south and the cycle shuttle from Italy to Germany is also only offered in one direction. The Via Claudia Augusta is not very often taken from south to north and for that you could not find any guest feedback and also the signposting is not so good. In some sections, there are even only signposts to the south and not to the north.