yesI assume your problem is Aft CG?
Nose heavy CG is not a big deal. Aft CG different story.
If you are under gross, adding ballast to the baggage compartment will move the CG.
My thought is find a different CFI. That one is too fat, and too inflexible. Find a 150 lb CFI, and put 50 pounds of bags in the baggage area. Problem solved!