Yes. Assuming the foreign worker possesses a non-immigrant work or other visa.
FAQs about the Labor Certification and Employment
Yes. The foreign worker does not have to be physically present or presently employed by a U.S. employer to process a Labor Certification application.
Yes. If the foreign worker obtained a non-immigrant work visa category (i.e. H-1B) then the foreign worker can begin and continue employment while the Labor Certification is being processed.
No. Labor Certification is not a work permit or a non-immigrant work visa. It does not bestow the ability to work legally in the United States.