Yes, in some cases the trucking company that employs the driver can be the entity you are suing. It all hinges on fault. If the driver is at fault due to their own negligence, recklessness, or carelessness, they are most likely one of the parties that can be held liable for the accident. But if the carrier who employs the driver does not uphold the law, such as failing to provide proper training, employing drivers with negative driving records, or allowing or encouraging drivers to drive beyond the maximum number of legal hours, the trucking company may also be liable.