Can I pay social security if I open an account without a social security card?

I can't. According to the provisions of the Social Insurance Law, social security cannot be paid without a social security account, and the specific situation of social security can only be handled after an individual submits an application for opening an account to the social security department. If there is an employer, it needs to be handled by the employer according to the relevant policies and regulations. If there is no employer, you can open an account in your own name.