No. They're caught between a rock and a hard place, because you're that permanent resident, you want to do the five-year residency in the U.S. to give you some skill that you're going to bring back to Canada, and you can't do it when you're permanent resident because you'll lose your residence. You have to live in Canada for two out of five years.
Now you can't even do it after you've become a citizen. If you become a citizen and then you go do it, you'll lose your citizenship because you've gone outside of the country.