Can you get a college degree with only medical insurance and no pension insurance?

No. The specialization is one of the ways for graduates to enter the undergraduate school, the nature of the general higher education, the official website of the announcement shows that the specialization needs to participate in social insurance according to the law (only basic medical insurance, basic pension insurance) contributions for more than 1 year, only medical insurance without pension insurance can not be examined. The specific requirements vary from place to place, and you need to refer to the documents on the official website of the local government.