There is no direct relationship between NASA clothes and NASA. They represent different concepts.
NASA is the abbreviation of the National Aeronautics and Space Administration. It is an administrative research agency of the U.S. federal government. It is responsible for formulating and implementing the U.S. space program and conducting research on aeronautics and space science.
NASA clothes are co-branded by NASA astronauts, or products containing NASA elements and trademarks launched by brands authorized by NASA, and have no direct connection with NASA.