Since I have very poor chance to get study permit in Canada for my?
What will she study? At a university? Yes, there is a provision for a spouse of a student to get a time-limited work permit in Canada. Unfortunately, your refugee status in Japan will probably render you inadmissible. You will be seen as using your wifes studies in Canada as a way to jump the immigration criteria. You must report your immigration status in any other country as part of the process. Sorry.