@ Capricorn
I had a similar discussion with CRA and told them I need the NOA. They instructed me to inform CIC that they have their own process and timeliness and will not make exceptions. The lady also told me that if they have a problem with that, they can contact CRA directly. Obviously, I wouldnt put it quite in those words, but maybe explain that CRA is still processing your file and once you have the document, you will forward it.
I dont think this will be a big issue. The more worriesome thing is your friends rejection. Do you have any more details?