No. The campaign promise that Mexico would "pay for the wall" was in a very direct sense, with the idea that his strong background in deal-making would be brought to bear in showing Mexico the benefit of either having a wall, from their perspective, or not angering the US.
A very oblique and indirect "we'll potentially have more money, and that pays for the wall" is pretty much in the realm of unicorns and fairy dust. How to measure the additional income, vs normal growth in economic activity from trade? And when a government that runs trillion dollar deficits gets a few million or billions more in income, unless the money is specifically identified and directed to "the wall" one could as easily claim it went towards Food Stamps/SNAP, education, a new tank, a trip to Mara Lago, towards deficit reduction, etc.
During the 2016 presidential election campaign, he very directly stated that the way Mexico would pay for the wall would be a "one time payment of $5 - $10 billion." He does make a reference to tariffs, but as a mechanism for forcing Mexico to pay for the wall, not as the wall-building revenue source.
He stated that this would be a direct remittance from them, and he was going to force their hands through the tariffs, blocking wire transfers of people sending money from the USA to Mexico, blocking visas, or by raising visa fees and using that fee increase to fund wall-building.
Washington Post: Memo explains how Donard Trump plans to pay for border wall
Basically, it's an empty claim aimed at saving face over his utter failure to get Mexico to buy in. It's standard Trump "moving the goal posts" in a pretty transparent manner.