Not to be discouraging but in my recent experience - there is nothing they can do. My Canadian husband's family has several political connections and we have had a friend of the family (an MP who knows Minister Kenney personally) call the CIC and ask them to expedite our application. She did so and was told that there is nothing that can be done and they will not place any applications as a higher priority... even at the request of an MP. If I'm not mistaken, I think she called Mr. Kenney's office directly.
From what she (the MP) has told us, this is a new development and she has successfully requested expedited applications for others in the past but the rules have changed recently and this is no longer possible.
Anyway, I guess you could contact someone if you'd like but I am inclined to think that there is nothing they can do because of my experience above.