I don't know of any other similar cases brought before the courts by other first nations. I know there was a case out West brought by an individual who had built a small hunting cabin. However, I believe that a number of communities like the Mi'kmaq and Wolastoqiyik have used wood and the court recognized that they had the right to do so.
The Government of Canada could recognize that right, much like it has recognized the right to self-governance for first nations when it comes to children and family. That's why I talk about how important legislation is. Through legislation, it would be possible to recognize these rights for various indigenous groups. There are other ways to do it, and the court even encouraged governments in Canada to take further steps to recognize constitutional rights and keep indigenous groups from having to go to court.
To answer your question, I feel it's possible. I also feel that a number of other first nations groups located further south in Canada have used wood in much the same way we have.