No, most state and federal agencies do not consider self-employed, independent contractors "employees." They are "self-employed" workers.
HOWEVER, employers engaged in interstate commerce, state and local governments, federal employees, employment agencies, and labor organizations with specific numbers of members may be required to display labor law posters.
Each poster indicates its display requirements, or you may contact the agency directly to confirm if you are required to display it under your specific conditions.
NOTE: Your employee count reported to the government does NOT include independent contractors; It includes only W-2 employees.