Maybe, without going through rehabilitation. Misdemeanor crimes in Washington are most comparable to summary (or minor) offenses in Canada.
However, keep in mind that many summary offenses can be prosecuted by the Crown through an indictment.
In fact, several Washington misdemeanors are considered hybrid offenses in Canada. And, because hybrid crimes are indictable under the IRPA, even a single misdemeanor conviction might bar you from crossing the border.
In most cases, a person with a prior misdemeanor would typically be barred from entering Canada for ten years following the end of their sentence. However, when you have overcome your inadmissibility to Canada through the Criminal Rehabilitation application, you could be eligible to apply for Permanent Residency in Canada. Applications for Criminal Rehabilitation must be submitted at least five years following the sentence's completion.