Yes — reporting the crash through the app creates a record with the rideshare company, and it is a normal, expected step. Just as important, take screenshots of your trip first: the driver, the vehicle, the time, and the route. That app data can be central to a claim, and it can be hard to recover later.
Reporting through the app is different from giving a recorded statement to an insurance adjuster. You can report the basic facts to the company while still being cautious about detailed recorded statements to any insurer until you understand your injuries and which coverage applies.
Beyond the app, the usual steps still matter: call 911 for an official report, get medical care, photograph the scene, and get witness information. The app record is one important piece of evidence, not a substitute for the rest.