No, that is not the facts.
Trump’s stated goal is to increase American export sales by encouraging trading pardners to reduce their tariffs to allow import of more American products.
Tariffs are taxes. Trump knows that so he does not favor tariffs for the purpose of taxing.
Trump favors and is encouraging export sales by making trading pardners offers they dare not refuse. He is a nationalist on an international playing field
These gains are more the result of accelerating economic activity across the board. Isolating the benefit/cost of the tariffs is a tricky business. My guess is that the costs are overwhelmed by improved business conditions which allow costs to be passed along.
Trump is using the tariff as a political weapon to counter political forces.