The decision to issue a ticket in a car accident typically depends on whether there is any credible indication that a traffic infraction occurred. After all, the police usually aren’t present until after the accident.
For example, if one driver ran a red light and caused the accident, they would likely be issued a ticket. There were probably traffic cameras at the light, in addition to witnesses and the layout of the crash.
The police may be able to tell if factors such as speed and aggressive driving were at play.
Ultimately, it comes down to what the officer discovers at the scene.