No, I don't believe so. As explained above, the code is If-Or. It would need to be a bunch of separate if's to stack. Basically it says "if Sim has Trait A, or Trait B, do this". I suppose it would be possible to coerce the game into stacking the bonuses with a Pure Scripting Mod, but I don't know of any that do this.
Seabody, do you still have the package ID for the code? I'll check it out, but it would be easier if I didn't have to go looking.