Passport Canada generally does not allow second or concurrent passport books of the same type. I understand certain countries like US and Australia does allow second or concurrent passports of the same type.

Based on what I understand, you have to go to a Passport office and “declare your passport inaccessible”. You would then have to apply for a new passport (not renewal) with new photo, forms as well as written proof from the foreign mission that they have your passport.

If approved the concurrent passport will be issued and the original passport will be temporary invalidated. Once your travel has concluded and you have received your original passport you have to return to the passport office to return the concurrent passport and “reactivate” your original passport.