If it establishes itself as a distinct service, possibly. It took the Air Force more than a decade to open its academy after being formed. Longer if you count the years it operated almost autonomously from the Army as the Army Air Corps.
Although the Space Force is a separate and distinct branch of the armed services, it is organized under the Department of the Air Force, very similar to how the Marine Corps is organized under the Department of the Navy. Since there is no Marine Corps academy, I would not expect to see a Space Force academy, unless like Rich says, it establishes itself as a distinct service.