Yes, you do.
Builder's Risk will cover you for damages done to ongoing construction and materials. However, in case of injury to your employees or other people, you are not covered. For different kinds of damage, you need these coverages:
General Contractor Liability: To protect your construction business from third-party claims on damage to property, injury, reputation, rented premises, and advertising mistakes.
Commercial Auto Insurance: To protect your business from the cost of repairs to work vehicles, medical expenses for injured employees involved in car crashes, and claims made by uninsured motorists involved in accidents with your work vehicles.
Workers Compensation: To protect your business and employees in case of injuries while on construction sites. This cover will pay medical bills, a percentage of lost wages, the cost of retraining if needed, or funeral expenses and death benefits in case of fatalities.