No. This is not the military. In the mil being selected for the next rank is an accomplishment because it involved a review and competitive rack-and-stack where you came out on top of other people.
In airlines everybody knows it's just pure seniority + some flight time.
I know foriegn airlines may be different, but people in the US would view that in our context... and would probably consider it arrogant.
Wait until you finish IOE before you claim CA status. You can update your app and claim the type rating as soon as you complete the checkride and get a temp cert.