Is there a contract that can be made between an employer and employee that lets the employer be faultless in event of accident?

There are really several questions here. First, can an employer enter into an employment contract with an employee requiring the employee to be wholly responsible in the event the employee has an accident on the job? Yes. Second, more important question: would such a contract be valid if challenged? That would probably depend on a whole host of factors including the laws of the state you are in and the specific situation. Third, can an employer legally insist that a particular employee sign such a contract as a condition of employment? Again, that would depend on the laws of your particular state. In general I would think there would be numerous problems in trying to enforce such an agreement, but that does not mean it could not be done. You should speak with an attorney who is knowlegeable about the particular laws of your state for a definitive answer.