No. As long as your injury is job-related, it's covered. For example, you will be covered if you are injured while traveling on business, doing a work-related errand, or even attending a required business-related social function. For more information on what counts as a job-related injury (and what doesn't), see Nolo's article Workers' Compensation: Is Your Injury or Illness Work-Related?
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