Yes. You can be separated for Commission of a Serious Offense under paragraph 14-12c, AR 635-200.
The definition of a Serious Offense IAW with paragraph 14-12c, AR 625-200 is:
Commission of a serious military or civil offense, if the specific circumstances of the offense warrant separation and a punitive discharge is, or would be, authorized for the same or a closely related offense under the MCM.
In plain English, if the reason for separation, if taken to courts-martial could result in a Bad Conduct or Dishonorable Discharge, then the offense qualifies as a serious offense.
IAW the Manual for Courts-Martial (MCM), the maximum punishment for Driving Under the Influence is:
DUI causing personal injury: Dishonorable Discharge or Bad Conduct Discharge, 18 months confinement and forfeiture of all pay and allowances.