Was looking at this site which has alot of detail on lost and timeframes: https://passports-office.co.uk/blog/lost_passport_what_to_do/, however it statesCan I use the 1-day premium service?
Unfortunately, the answer is no.
However, there are a couple of exceptions to this rule. HM Passport Office will allow some customers to use the 1-day Premium service but this is in extreme circumstances only. If you have a medical emergency or you have suffered a bereavement you may be eligible for this service, but, you will need to contact HM Passport Office to clarify the situation and they will then decide if you qualify for this service or not.