No. The Governor’s moratorium does not allow service of any type of notice that requires a tenant or occupant to vacate.
This is intentionally stated in rather broad terms, and the language of the moratorium goes on to specifically prohibit service of notices to terminate tenancy.
The only basis for serving notice under the eviction moratorium is if the owner intends to move in or sell the property, or the tenant poses an immediate threat to safety, health, or property.
Intent to move in or sell requires 60 days’ notice. Local law may require longer periods. For example, Seattle requires 90 days and Federal Way requires 120 days. The termination date must be the last day of a rental period (typically a calendar month), and is not calculated as a number of days from the current date.