No. Base 16 is only divisible by 1, 2, 4, and 8, while Base12 is divisible by 1, 2, 3, 4, and 6. Of course, Base 10 is only divisible by 1, 2, and 5.
Switching from Base 10 to Base 12 would be difficult. Instead we should go back in time and ensure we evolve with 6 fingers on each hand and foot.