NRA-Backed Bill Passes in Texas Allowing Anyone to Carry Unlicensed Gun Texas is poised to become the 21st state to allow law-abiding individuals to carry a concealed handgun without a government-issued permit. (Twitter/@CBSNY) 1329 The prospect of ordinary citizens being allowed to carry unlicensed weapons is almost a reality in one state in the United States of America. According to the Associated Press, lawmakers in the state of Texas have approved a bill that will allow anyone to carry a handgun without a license. This bill will also allow people to be able to carry an unlicensed gun without a background check or training.