The chase happened last December after a driver allegedly sped from a police check stop for impaired drivers and ended when the vehicle being pursued swerved in front of a police cruiser and struck a man on the grass at 60 kilometres an hour.
The branch says the chase was called off, but an investigation found that not all officers heard the radio command and that more Mounties joined the pursuit.
The Independent Investigations Office looked into the incident and the agency's director concluded that an officer may have committed an offence, although he didn't make any recommendations on charges.
The Crown says that there isn't a substantial likelihood of conviction for any of the three officers involved in the chase, either under the Criminal Code or the Motor Vehicle Act.
The driver who allegedly led the pursuit faces a number charges that are still before the court.