Well, I doubt it. I don't know what frequencies you are referring to, but regardless...
The box itself (size, shape, and damping,) only affects the lower end of the frequency spectrum, say, below 500 Hz. However, the wavelength of frequencies that low is measured in feet, not inches. Thus, a thin layer of damping material will do very little to reduce internal reflections. Even 4 inches of dense damping material would only contribute minor improvements.
If you are talking about subs, every box exhibits some degree of one-note-bass due to box vibration and resonant frequency. Adding solid mass to the box walls would probably only lower the resonant frequency which would serve to change the tuning. The box walls will still be vibrating surfaces that radiate sound. They will just "come alive" at a lower frequency. If you can lower that frequency to below the usable range of the sub, it may be productive, but would also make the boxes much heavier.
Perhaps a better way to manipulate vibration might be to add strategically placed internal bracing. IDK.
Good luck.