Can I transfer the ownership directly with my social security card and temporary residence permit, without proof of acceptance?

You can't. If you don't get a certificate, you can't transfer directly with your social security card and temporary residence permit. The first step of transfer is to have a receiving school, issue a certificate of acceptance, then bring it to the transfer school and submit the transfer application online. The transfer-out school agrees to transfer out after receiving the acceptance certificate, and then agrees to transfer out on the student registration platform. As for the transfer certificate, if the transfer is successful, the school that transferred to the student status can open. If it doesn't succeed, it must be held in the original transfer school.