Well, logically speaking (sorry to disappoint you), typhoon on 120th day, would still leave 119 days left.
Any way, there is no harm in trying it out. you can drop a note in your packet, probably the first page of the list mentioning the natural disaster, that prevented you from being able to courier.
On a 2nd thought, if one is given 120 days, even 120th day is part of the eligibility; and such natural disasters can be a valid reason for the IO to consider your case.
All the very best!