I would ask about it, but it is doable!!
I took English Comp in a 3 week course. (Wintermester) It was 1 1/2 weeks, then a 2 week Christmas break, then the other 1 1/2 weeks to finish the class. However, we were not given any information on topics during the break.
Most of our five 500-700 word essays were due in two days, but some were due the next day!!!!!! I made an A+ on all but 4 of the essays, and all of them were read in class by the instructor. The last paper was a research/argumentative, in which I made an A on that one. I think we had 3 days for that paper, but one day was at the library for research and to turn in our research/argumentative topic. (This one had to be at least 800 words. ??)
I realize for some writing papers isn't extremely easy, but I just wanted to let you know it can be done. (Just plan for some sleepless nights....lol) Luckily, after I planned out what I wanted to write, the words just flowed. Maybe they will for you too!
I have 2 of my papers online on my website, if anyone wants to read them..."Scars of a Birth Defect" and "Discarded and Disgraced".
The other three were boring. lol
If asking your instructor doesn't change anything, take it in stride, and just do your best!!!
YOU CAN DO IT!!!!!