Empty gelatin capsules

If the empty gelatin capsules have shelf life less than the product shelf life, can we dispense such EGCs to manufacture the product?

No, please.
You should not dispense EGCs with a lesser shelf life than the final product.

EGC is also an “ingredient” in the formulation recipe. So it should be treated the same way as any other ingredient. The answer, therefore, is an emphatic "no’.