Yes. If you are injured because of some reckless or intentional action on the part of your employer, you can bypass the workers' compensation system and sue your employer in court for a full range of damages, including punitive damages, pain and suffering, and mental anguish. For more information, see Nolo's article Workplace Injury: When You Can Sue Outside of Workers' Compensation.
Workers' Compensation Benefits FAQ
Are You Eligible for Workers' Compensation Benefits?
Types of Workers' Compensation Benefits
Is Your Injury or Illness Work-Related?
Workplace Injury: When You Can Sue Outside of Workers' Compensation
Filing a Workers Compensation Claim