Yes, you can. Even if the original charge is DUI or Physical Control. However, you must wait three years from the date of the end of the probation period to make the motion to vacate. The typical probation period is two years for Reckless or Negligent Driving and can be as little as one year. Effectively, five years after your conviction in most cases you will be eligible to file a motion to vacate. Remember, you must still meet certain conditions such as no new convictions among others.The Court also has discretion to deny the motion. (for example if you have other criminal history etc.)