No. He also made the threat in a May 2 tweet, which came after he had just taken the border wall off the table to strike a deal with Congress to fund the USA for another five months.
Gambling on a shutdown over the wall is an easy choice for Trump.
"The president promised over and over again during the campaign that Mexico would pay for the wall".
Now, while this remains a centrepiece of his populist speeches, he accepts United States funds will pay for construction, and Mexico will be forced to re-pay in some way later on.
"Believe me, if we have to close down our government, we're building that wall", the president said to a cheering audience.
US Border patrol agents man the fence with Mexico at Border Field State Park in San Diego, California, US, on April 30, 2017.
"What we'll do here is go through the mechanism of getting the original initial money that we need for that capital project from Congress through an appropriations process and we'll responsibly construct the barrier on the border", he said.
Apple Won't Be Building Its Own Autonomous Car... Because Of Boardroom Fights
Apple stepped up to regain course in the project past year when it put longtime executive Bob Mansfield , in charge of Titan. In the meantime, Apple is focusing on a self-driving campus shuttle called PAIL - short for "Palo Alto to Infinite Loop".
Homeland security adviser Tom Bossert said Sunday on ABC's This Week that he was confident Congress would meet Trump's budget request and wouldn't speculate on whether the president would veto a measure without it.
"As we work with the Mexicans and other policies and trade policies and such, we'll determine ways for us to make that right".
Members of Trump's party criticized the pardon, including House Speaker Paul Ryan (R-Wis.), who said he disagreed with it, and Sen.
A few hours later, Mexico's Foreign Ministry hit back to Trump's tweet in a lengthy statement that also snubbed the president's frequent use of social media.
"We are in the NAFTA (worst trade deal ever made) renegotiation process with Mexico & Canada.Both being very hard, may have to terminate?"
Trump said at a rally last week in Phoenix that he would "end up probably terminating" NAFTA "at some point".
The U.S., Mexico and Canada began formal negotiations earlier this month to rework the 23-year-old trade pact that Trump blames for hundreds of thousands of lost U.S. factory jobs.