You can apply for a work permit. I did it and received the work permit already. The pilot project doesn't say students cannot apply
"I know that with an open work permit and CSQ you can apply for medical insurance at Quebec. However, is it possible to apply for medical insurance just with the CSQ? I cannot apply for an OWP, as I already have a study permit, and studying full-time. Moreover, the international tuition fee exemption is not applicable with just the CSQ, it needs the AIP, as far as I know. Correct me if I am wrong."