In a word, No!!
I'm not sure where you got the VMCA-Vs relationship. The two have no connection to each other. VMCA is dependent on the amount of assymetric thrust present in an engine-fail situation vs the effectivness of the rudder, whilst Vs is dependent on the wings ability to create lift. Changing one has no direct effect on the other.
Where I think you're getting confused is that V1 cannot be less than VMCG, V2 cannot be less than 1.2 Vs, and V2 cannot be less than V1. In a light weight takeoff, you might have to use VMCG as V1 and V2, but in this case this number would be more than 1.2Vs.
Hope that helps.