You can apply, but you may not be able to get the card if you only have a social security card. You need to have complete information to have a higher chance of getting the card.
The materials required to apply for a credit card are as follows:
1. Proof of identity: usually an ID card (if you are using a new version of the ID card, a copy of the front and back is required), military personnel are required to provide Copy of military ID;
2. Work certificate: It can be the original work certificate issued by the unit where you work (please indicate the specific company name, department, position and income, and stamp the company seal or personnel information stamp), or a copy of the work permit/plate;
3. Proof of financial resources: it can be a bank salary record, or income tax withholding certificate, or documents proving the market value of houses, cars, deposits and investments (such as real estate Certificate/car driving license/copy of bank deposit certificate) and other materials that can prove the level of financial resources.