The short answer is yes. Remember, the police do not investigate a cycling crash the same way as an injury lawyer does. Police look for who was mostly at fault and whether they violated some traffic infraction or other law. A lawyer will look for every argument the driver was partly or even mostly to blame in causing the crash or contributing to it, even if the police cited the cyclist. Never take the police report or the opinion of the investigating police officer at face value without having it evaluated by an experienced attorney.
Here are some other questions you might have about your cycling accident: