In the spirit of impossible things:
On New Year's Eve, my area of the company closed around 3 pm. I think a couple people volunteered to stay later, but for the most part, everyone left before 3. At about 2 in the afternoon, I got a call from a claimant asking about their status. After looking at the notes, I told him we were still in need of additional information from his doctor before we could consider extending their benefits. He asked how long it would take to review the information once we got it. I said we normally review everything within three business days, and he informed me that wasn't acceptable. He said he was going to have his doctor fax us the information today and he wanted it reviewed and his benefits extended immediately, so that his company could get the information for payroll. I also happened to see that his company's corporate headquarters had closed at noon that day.
So to review, he called an hour before we closed for the holiday and wanted someone to a) wait around to see if the doctor's office actually sent us information, b) review said information as soon as it came in and c) process an extension (if possible). All on New Year's Eve, when the corporate headquarters had closed two, possibly three, hours ago, depending on where in the US they were located. He was very vocal and nasty when I informed him that wasn't possible.