No. Exports are classified using Schedule B from the Bureau of the Census, which can be viewed here. Like the HTS, Schedule B is based on the harmonized system, so in most cases the code is very similar. So much so in fact, that the general statistical notes (PDF) and the notice to exporters (PDF) of the HTS lists the instances where the HTS and Schedule B differ.  For exports listed in the notice, Schedule B must be used instead of the HTS for reporting shipments.