No, the building in question is under 5,000sf and not required to comply under C408.
C408.2.2 Air distribution system testing, adjusting and balancing. Construction documents shall require that a written balance report be provided to the owner or the designated representative of the building owner for HVAC systems serving zones with a total conditioned area exceeding 5000 square feet (465 m2). Air distribution systems shall be tested, adjusted and balanced by a licensed engineer or a company or individual holding a current certification from a recognized testing and balancing agency
organization in accordance with generally accepted engineering standards.