Not gonna happen, unfortunately. He can't executive order that away and congress wouldn't touch it.
Take a look at the website shown in the article: myvisajobs.com. You can search for available H1B jobs by company.
Microsoft 2791 H1B openings
Apple 990
Facebook 698
Google 3255
Ford 102
Oracle 545
IBM 6422
and even
Trump International Hotel 1
Clinton Crime Family Foundation 3
Like hell Trump can’t stop this H1B madness.
Most of these companies are skirting the law, and hiring H1B workers in place of readily available American workers as required by law. Once again, as is also the case regarding illegal immigration, just enforce the law. Novel concept these days, but all he needs is a phone. No pen required.