First, a "no contest" plea is essentially a guilty plea in a criminal matter but the plea would not have an effect upon a civil action stemming from the events arising from the criminal action.However, if there was a deferred adjudication, then perhaps the court may dismiss the criminal action against you since you have successfully completed your probation. If you do not have a criminal defense attorney representing you in this matter, I suggest that you consult with one regarding a petition to dismiss the action against you and to seal your file if in fact your completed probation warrants the dismissal of the criminal action against you.