The answer is possibly if you are itemizing deductions. The sales
tax on the motor vehicle is added to the "normal" sales tax that the IRS
allows as a default should you opt to deduct sales taxes instead of income taxes. In addition, VA has "personal property tax relief" for personal vehicles outline in https://www.dmv.virginia.gov/general/#pptr/summary.asp . No portion of the VA DMV state registration qualifies as a federal itemized deduction because those fees are not based on the automobile's value, but on its weight.
