Maybe! I just think they're running the Halloween (2018) playbook pretty closely thus far with Exorcist: Believer.
Halloween (2018) shows first footage privately at CinemaCon on April 25, 2018. Releases first trailer June 8, 2018. Puts the trailer before The First Purge when it releases July 4, 2018. Second trailer drops September 5, 2018. Movie comes out October 19th.
Exorcist: Believer showed first footage privately at CinemaCon on April 26, 2023. Trailer drops potentially mid June. Put the trailer before Insidious when it releases July 7, 2023. Second trailer could drop early September and air before Nun 2 which drops September 8, 2023. Movie comes out October 13th.
Anything is possible though. I'm strictly talking out of my ass and speculating. A trailer doesn't even necessarily equal an HHN announcement after all