Can the Civil Affairs Bureau apply for a girlfriend card?

You can't. BFF is not a certificate stipulated by the state, so the Civil Affairs Bureau cannot apply for BFF, which is the government's functional department in charge of social administrative affairs. Perform the important function of "sharing the worries for the government and solving the worries for the masses", and be in charge of disaster relief, double support, special care and resettlement, management of non-governmental organizations, construction of grass-roots political power, minimum living security for urban and rural residents, social welfare and social affairs, and geographical names division.