Can I submit an application for express entry while this application is in process? Would I have to declare that I am n longer in a common law relationship ?
The reality is that, as you have said yourself here, you are no longer in your relationship and don't intend to continue with the sponsorship app. Either you or your sponsor needs to immediately withdraw the app. You can't continue on with it just so that you can receive the OWP and then withdraw; lying to obtain any form of immigration status is fraud.
You can do an EE app whenever you want and you would have to declare yourself as single.