YES! Both you, and your insurance company have a right to an appraisal. It is always wise to hire your own impartial, licensed appraiser to determine the value of your loss. Your insurance company may not protect your best interests with their in-house or computerized appraisals. When you protect yourself with an independent appraisal, your insurance company is obligated to negotiate a loss settlement using both.
Be certain, and exercise your right to a competitive appraisal.