Constitutional Concealed Carry Reciprocity Act of 2021 This bill allows a qualified individual to carry a concealed handgun into or possess a concealed handgun in another state that allows its residents to carry concealed firearms. A qualified individual must (1) be eligible to possess, transport, or receive a firearm under federal law; (2) carry a valid photo identification document; and (3) carry a valid state-issued concealed carry permit, or be eligible to carry a concealed firearm in his or her state of residence.