Once the application is made to the Immigration and Refugee Board, the jurisdiction to hear the case and make a decision rests with the board. The minister cannot take that back unless the situation were one where the minister decided that the person should be allowed to stay in Canada--for example, on humanitarian and compassionate grounds, in which case there would no longer be a removal process, and the process before the board could be terminated. But if the minister is simply asking the board to delay or is seeking a different process before the board, no, the minister has no more opportunity to do that than does a member of Parliament.
On June 1st, 2010. See this statement in context.