Call CFAI, you never know. atleast you’ll have satisfaction of trying.
call up your passport office too; explain them the situation; if you’re too keen, then go to the office and try working out some solution. Try getting some letter etc (that can be issued in lieu of the passport), or any emergency option (which most of the countries’ passport offices have) or something that CFAI can accept.
I’m assuming you would already have photocopies of the old passport, try combining it with the new document (if you get from the passport office) and present it to the CFAI to prove that you’re the same person.
You’ve over a week, see if something can be worked out.
Low probability, but hey no harm in trying.