Most likely it won't impact your application.
FYI, I submitted my application as cap-exempt on last day of my job in Quebec and moved to USA shortly after that. I called MIDI Customer Care to update my address and I was told that I should send new address information along with documents once I receive document checklist. I received document checklist and CSQ while I was in USA.
What do you want to update in your application? Unless it's something critical that would impact your scores or new family member or marriage status, I would not bother. If information is trivial then wait till you get document checklist. FYI , I had provided incorrect DOB of my wife ( it was off by 2 days) and there were few spelling mistakes in the application I had submitted to MIDI. I had sent a cover letter along with document from checklist explaining "trivial" mistakes.
In case you are wondering how I managed to provide incorrect information in such an important application. Well it was Jan 2016 and MON project was at its absolute worst. I had spent several hours just to open the portal and once I was in the portal, I finished my entire application in single sitting in few minutes and submitted the application.