Nope, not at all. They gather them up in the Tutorial Office all in one go, anyway, so it doesn't matter. I know for a fact that my SAQ arrived on the day of the deadline or late the previous day, I'd had to Special Deliver it.
In other news, I was in the applications office the otehr day sorting out some stuff and they had big piles of CAFs and were inputting them into the computers... it was rather tempting to take a look. I didn't, though.