Yes, but it's a goal of 10 days for those that are eligible for expedites. It doesn't seem that you are as there is no hardship to a USC so no grounds for an expedite. If they respond (they may not, as it's nothing to do with a USC), then it wouldn't be quick as you'll be in the queue behind those who are eligible for an expedite and who need urgent action taking on their case.
But all you can do is wait and see if they do respond, and if you somehow get lucky and they grant it. But personally I'd be looking at a Plan B i.e. reentry permit.
Good luck.