PR Renunciation and sponsorship

Posting on behalf of my wife

I did my landing in June 2016 and have been staying out of Canada(in US). I’m sure that I will not be able to fulfill my PR obligations, hence will need to renounce my PR. My husband applied for his PR after out marriage (March 2018) independently and received a request to send his passport for stamping before May 12th, 2019 . He declared in his application that he is married and I will not accompany him to Canada.

My question is can I renounce my PR now and add myself to his PR before he sends his passport for stamping?