In many cases the answer to this question is yes. If the Assault 4 charge was not a domestic violence charge, and you have no other convictions or pending charges at the time you are asking the court to clear your Assault 4 charge, you would likely qualify under the relevant statute, RCW 9.96.060. You would not qualify, however, until you successfully completed the deferred prosecution and had the DUI dismissed. (This takes 5 years)
If your Assault charge was in Seattle, you can find the link to their instructions for clearing your record in their court below. I have also included a link to the RCW.
DUI DUI defense DUI as a criminal offense DUI charges DUI and criminal records Criminal defense Criminal charges Crimes against society Crimes against persons Criminal charges for assault and battery Domestic violence and criminal charges Defenses for criminal charges Criminal court Criminal record