Legally? No, I think the other recent threads on this explain that there is no requirement for charitable orgs to send these out automatically at all. Is the Church's rule to have them all out by 2012-01-31? Yes:
http://tech.lds.org/wiki/Donor_Statements
The Official Tax Statement should be delivered to each donor by January 31 of each year. Although they can be delivered anytime in January, it is prudent to wait until the middle of January so that any late-December donations paid for by checks that were then returned unpaid by the bank can be properly canceled.
With all of that said, I know more people who wait until April to do taxes than those who do them in February. I've never sent in my statement and only need it should the IRS decide to audit me. Would I be willing to wait another month? Sure. Would most? Probably. Should you ask? Probably. Is it still against the policy? Apparently so. Maybe this is one of those times you can counsel with leaders (Stake President) to see if a delay is appropriate since the wording is 'should' and not 'must'.
AB