Yes, you can. A Charpy impact test is really measuring sort of a combination of strength AND ductility, if performed as a impact strength in ft/lbs. If a material has high strength and low ductility then you may see high ft/lbs and low shear. Remember,the ft/lbs measure is a hammer recoil. Therefore higher strength will cause the hammer to recoil higher even with low ductility. However, at some point the higher strength to ductility ratio can lead to a demonstrative brittle type fracture, defeating the ft/lbs measurement.
The debate has raged for decades as to which type of measure is the best. 31.3, for example, requires impact strength measurement. ASME III requires lateral expansion (emphasizing ductility more than strength). Differing code bodies with different people of differing opinions and differing applications drive the variation. Then toss in the percent shear measurements (estimated visually) just for fun. I tend to think that lateral expansion is a better measure.
There is also lateral contraction, but nobody every really uses that one any more. More research oriented guys push for CTOD's. And for good reason, they are more indicative of real material properties than Charpy's are. But cost and time are counter arguments.