Could I be found guilty without evidence?

The testimony of a witness is evidence, whether true or false. The jury decides whether the witness is telling the truth or not. The jury decides whether the (apparent) lack of damage to the car means they have a reasonable doubt as to your guilt. It occurs to me that in some cases a car could run over a person without the car sustaining damage, but every case is factually different. If the accuser received injuries, testimony from a doctor is likely to be admitted, which might help or hurt you, depending on the testimony. Physical evidence is not required for a conviction. The prosecutor has the authority to charge anyone with a crime. The alleged victim does not have that right, only the right to report the incident and let the police and prosecutor decide what to do.

Of course you could. Evidence is the testimony against you. If they are believed and you are not, you will be convicted. Get a lawyer on board asap.