HSS Specialization Question

OK so I’ve done the back specialization for about 6 weeks maybe 8 weeks although I know it says only 4-6. I hurt my thumb hitting the punching bag and havent been at the gym for about 2 weeks and doctor today said to give it another week, so if I start chest specialization when i get back to the gym would this be ok? Like are you suppose to wait a certain amount of time before doing another area specialization?