From your link:
“Embargoes, anti-dumping duties, countervailing duties, and other very specific matters administered by the Executive Branch are not contained in the HTS.”
Case in point:
http://archive.fortune.com/2009/10/07/news/economy/obama_china_tires_tariff.fortune/index.htm
"... The tire case fell under a provision, called Section 421, that gives the President broad discretion on whether to impose quotas or tariffs when imports disrupt the U.S. market.
Ford wants to build a factory in Mexico. This is not dumping. This is not a disruption of U.S. markets. It has an impact on U.S. employment and that is the motive for Trump wanting the power to put a tariff on products imported from specific American companies.
He can do that. He just needs to get Congress to pass the applicable legislation.
Nice try. But not good enough.