In some countries sending travel documents such as passport to another country is illegal. Not sure if there are any similar rules with PR cards.IRCC will continue with the process and send PR card to the Canadian address.
Please refer this post for possible risks in this approach : https://www.canadavisa.com/canada-immigration-discussion-board/threads/pr-card-timeline-etobicoke-office-only.712660/post-9375239
I had a similar question if I send dependents to my home country while the PR card is in process in Canada. I will wait until I receive cards and travel to my home country to bring back dependents by carrying their cards with me?
What happens if an immigration officer at airport finds that a person carrying a PR card of another person to other countries.