The answer to this is generally “no.” Workers’ compensation is a no-fault system, so it does not matter whose negligence caused the accident. The employer accepts responsibility for covering all work-related injuries. Of course, if your employer denies your workers’ compensation claim, you have the right to pursue an administrative appeal of that decision to the Workers’ Compensation Division.
It is also important to note that workers’ compensation shields only the employer from civil liability. If a third party’s negligence caused your accident or injury, you are still free to sue them. For example, if you are in a car accident while driving a company-owned car to meet with a client, you could file a personal injury lawsuit against the other driver.