It depends on whether the required basic geometry/dimensions are defined. Profile requires a basically dimensioned "true profile" to establish the profile tolerance zone around. The basic dimensions could be given on a drawing or they may be defined by a CAD model, depending on the type of definition (fully defined drawing? Minimally dimensioned? Model based?).
Also, depending on how the general profile is specified (with or without datum references? All-over or not?) and on how the surfaces connecred by the chamfer or radii are dimensioned and toleranced (are they controlled by the same general profile?) the outcomes may differ and a chamfer "size" may either be reasonably controlled, or not.