No.
You can have an idea of where your application is, by answeing a couple of questions in:
http://www.cic.gc.ca/english/my_application/status.asp
this system is called ECAS. You will only be able to access it once you have a UCI number or a FILE number. (once your application has reach an officer, you will most likely receive a letter stating they receive your applcation, this is called AOR (Acknowledge of Receipt).
If you do not receive this letter in an average of two months, then call cic.
I assume that you are inland, since you are applying for an OWP too.
The GCMS notes allowed you to know what the officer has been writting on your file, where has it been send and all the mouvements on it.
But is more usefull when you are require to pass an interview, or when your file is taking longer than expected, even when they request more documents, it will let you know if the officer has doubts on the relationship, or others.
I would not recommend this in such an early state. if you dont even have an AOR yet, then is completely useless.
Wait a couple of months to try getting a UCI number and use ECAS
info is not detailed but it will give you an idea.
Hope this helps!
Good luck and God bless