It's possible, although that isn't usually the way things happen. He now has to come to court and prove that you were the driver. If it was an FHP Captain I highly doubt that he has a video in his car. You should consult an attorney in your area to explore the exact facts of your case.
This is not intended to be an attorney-client relationship and is my opinion only. Consult with a local attorney for additional advice.
Sounds sketcy enough to where you need to retain a lawyer and go into more detail with them about what happened before you do anything further.
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This is rare, but I have seen it happen before. Did you loan someone your car? Does this Captain know you personally? If he does not know you, you have some eyewitness identification issues and an experienced criminal attorney can be a valuable tool in helping you beat your case or receiving a reduced sentence.
Your arrest may be unlawful. Be sure to tell your attorney you were in your house when arrested etc.
Yes. I have been a criminal defense lawyer in Fort Pierce and Vero Beach since 2004. Make an appointment with a lawyer, most offer free consultations. If you are called in for questioning, request a lawyer as many times as you have to, and do not answer any questions even if they seem harmless at the time.