Yes. If the amount you receive on the sale is more than you paid for the car, the different is taxable gain. However, as is the usual case with a personal vehicle, where the value typically declines over time, any loss on the sale of a personal vehicle is not deductible (you cannot take a capital loss on personal use property).
Items, such as interest, state and local income and sales taxes, charitable contributions, and medical deductions, claimed on Schedule A of Form 1040. Itemized deductions are subtracted from adjusted gross income to arrive at taxable income. The amount of itemized deductions is also subject to a reduction when adjusted gross income exceeds certain limits.