I think they can serve it, but not 100% sure. The thing is that they are required to wait 3 days after serving it before actually evicting, so it kind of makes sense that they can serve the papers prior to the date, as long as the date of the actual eviction happens on or after the date on the court papers.
Marshals Evictions FAQ - Marshals - Department of Investigation
Q:
As a tenant being evicted, what should I expect to happen?
A:
A marshal must serve the tenant with a Notice of Eviction, before the eviction. Simply stated, this means that the marshal must wait at least three (3) business days after service of the Notice of Eviction before evicting the tenant. (Business days are considered Monday through Friday, except for legal holidays.)
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Q:
How is the notice of eviction served?
A:
The city marshal must attempt to serve the tenant personally, or to serve a person of suitable age and discretion at the premises. If this is unsuccessful, the marshal must conspicuously post the Notice of Eviction on the door of the premises or place it under the door, and within one day, mail copies of the Notice of Eviction by certified mail and regular mail. If the Notice is served by any means other than personal delivery to the tenant, the marshal must wait an additional two business days after mailing the Notice before conducting the eviction. Simply stated, the tenant may be evicted on the sixth business day following the date on which the Notice was mailed. The Notice itself must also be dated, and the date of the Notice may not be earlier than the mailing date.