No, a loss on the sale of personal property is not deductible. You can deduct a loss relating to personal-use property only if it results from a casualty or theft; a government directed move is neither a casualty or a theft.
Per IRS Tax Topic 409-Capital Gains and Losses Personal-use property: Generally, property held for personal use is a capital asset. Gain from a sale or exchange of that property is a capital gain. Loss from the sale or exchange of that property is not deductible. .
