Of course. As long as college students reach the employment age stipulated in the labor law, meet the qualifications of labor relations subjects, and have the behavioral ability and responsibility ability to establish labor relations with employers, they can sign labor contracts with companies. Students' internship in the employing unit is not regarded as employment, and they may not sign a labor contract without establishing a labor relationship.
Legal objectivity:
Labor Contract Law
Article 10
To establish labor relations, a written labor contract shall be concluded.
If a labor relationship has been established and a written labor contract has not been concluded at the same time, a written labor contract shall be concluded within one month from the date of employment.
If the employer and the employee conclude a labor contract before employment, the labor relationship shall be established from the date of employment.
Labor Contract Law
Article 16
A labor contract shall be reached through consultation between the employer and the employee, and shall come into effect after the text of the labor contract is signed or sealed by the employer and the employee.
The text of the labor contract is held by the employer and the employee respectively.