It's possible. But I would be more inclined to think not. The reason? Why didn't the employer apply for the Q pass first if you have the necessary qualifications AND minimum salary for the higher pass? After all, the Q would be cheaper for the employer as there is neither CPF nor FW levy on EPs. Also, I'm pretty sure the employer already knew he was over quota before he applied. They could have filed for the EP and ticked the box saying if not qualified for the EP, will the employee consider an S pass. If the employer NOW reapplies for you for an EP, MOM may very well think it's a kick-back scheme unless the salary being offered is the same. Have them apply, you have already been rejected due to quota so one more chance by the employer won't hurt. If unsuccessful, you will need to find another employer.
SOME PEOPLE TRY TO TURN BACK THEIR ODOMETERS. NOT ME. I WANT PEOPLE TO KNOW WHY I LOOK THIS WAY. I'VE TRAVELED A LONG WAY, AND SOME OF THE ROADS WEREN'T PAVED. ~ Will Rogers