As Per IRCC website: (
https://www.canada.ca/en/immigration-refugees-citizenship/services/immigrate-canada/express-entry/apply-permanent-residence/police-certificates.html)
Get the police certificates you need
You must include police certificates
when you apply for permanent residence.
Our online system will ask for a police certificate for:
- you and your family members who are 18 years or older
- and
- every country you (or a family member) stayed in during the last 10 years for 6 months or more in a row
Answer to your question:
Technically not required but its entirely up to you.
Personal opinion, It will unnecessary documentation, it is very clearly stated that if you have stayed more than six months. Sending PCC from FBI would reflect or may give impression to officer that you might have stayed more than six months. He might want to dive in your travel records then.