Yes, provided you buy a Insurance policy through the mover, otherwise no mover will cover you for the losses. Full Value Protection or Coverage - This is your most comprehensive coverage. You may hear it referred to as "full replacement value" as well as "full value protection". If you elect to purchase full value protection, articles that are lost, damaged or destroyed will be (at the mover's option) either repaired, replaced with like items or a cash settlement will be made for the current market replacement value, regardless of the age of the lost or damaged item. Unlike the other options, depreciation of the lost or damaged item is no a factor in determining replacement value when the shipment is moved under full value protection. The cost of full value protection may vary by mover and may be further subject to various deductible levels of liability that may reduce your cost. Ask your mover for the details of their specific plan.