Yes, as long as you were not suspended for anything else at the time of your arrest for DUI or Physical Control. In Washington State your license is still valid for 60 days from the date of your arrest. However, it is considered a temporary license and you are supposed to tear off and carry around the bottom portion of the form that is also the Department of Licensing (DOL) hearing request.
The police officer or trooper should have given you a Washington State DOL hearing request. If you follow the instructions and timely request a DOL Hearing within 20 days - your temporary license is extended until the Washington State Department of Licensing Hearing Officer issues a decision.