No. In order to avoid violating the terms of their F-1 status a student must first receive a new I-20 with an Academic RCL authorization from ISSS before they drop below a full course of study.
In addition, ISSS places a Drop Advising Required hold on international student records each semester after the drop deadline. The hold requires that students first consult with an ISSS advisor before dropping a class to ensure that a student does not accidentally fall out of status. An ISSS advisor will need to manually remove the Drop Advising Required hold before a student can drop individual courses after the drop deadline.