No, you don't have to get a new one. That was the case with my PR application. I was in Spain and got the PCC a week before I left. To confirm, I had sent an email to embassy and they said I am good with the old PCC. You may like to check with IRCC, just to have another official version.
"If you need a police certificate from a country or territory and:
If you are currently living there, or
received the police certificate before leaving, the police certificate must be issued within six months before you apply.
If you have lived there in the past, the police certificate must be issued after you last lived in that country or territory."
This statement is from the IRCC on the police certificate page , it used to be there in 2017 , but not there any more.
Maybe they changed the rules.
For express entry PR the current page states;
- For the applicant’s current country of residence, the police certificate must have been issued no more than six months before the submission of the e-APR.
- For countries in which the applicant no longer resides, the police certificate must have been issued after the last time the applicant lived in that country.