Yes. This question has been answered multiple times in this thread.Hey do you have a source for allowing work beyond the 4 months expiry date?
Check letter validity section and paragraphs after that from the following link: https://www.canada.ca/en/immigration-refugees-citizenship/corporate/publications-manuals/operational-bulletins-manuals/temporary-residents/study-permits/post-graduation-work-permit-program/permit.html