Legal analysis: no, the employer does not sign a labor contract with the employee, which violates the labor law, and the employee can ask for double wages.

Legal basis: People's Republic of China (PRC) Social Insurance Law.

Eighty-fourth employers do not apply for social insurance registration, the social insurance administrative department shall order them to make corrections within a time limit; If no correction is made within the time limit, the employer shall be fined between one and three times the amount of social insurance premiums payable, and the directly responsible person in charge and other directly responsible personnel shall be fined between 500 yuan and 3,000 yuan.

Article 86 If an employer fails to pay social insurance premiums in full and on time, the social insurance premium collection agency shall order it to pay within a time limit or make up for it, and from the date of default, an overdue fine of 5/10000 shall be added daily; Failing to pay within the time limit, the relevant administrative departments shall impose a fine of more than one time and less than three times the amount owed.