You could use stones, but I think your results would be less than ideal. The problems you are likely to run into with a curvy blade and a stone are:
1. Difficulty to get to some areas of the edge
2. Loosing some of the curvyness of the edge
If you are alright with these, then feel free to use stones. But if you want to sharpen with more ease and not alter the blades shape much then a rod type sharpener is the way to go. The main problem with the Sharpmaker is that it doesn't remove enough metal to reprofile a knife within a realistic amount of time. But people love it for touching up their edges.