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I am sorry, but no. What you are asking for is called a "cooling off" period. This does not exist for vehicle purchases either on a federal (see HERE) or state (see HERE) level in Virginia. I am sorry.
Now, the dealer may still be willing to take the vehicle back. However, they may charge to get out of the contract, which is not unusual. Someone in your situation can offer them a payment to allow you to walk away from the contract (this should be in writing), and this is negotiable.
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