No he doesn't have that power. From the Guardian's coverage of today's press conference:

University of Texas law professor Steve Vladeck has countered that: “The president has no formal legal authority to categorically override local or state shelter-in-place orders or to reopen schools and small businesses. No statute delegates to him such power; no constitutional provision invests him with such authority.”

Trump himself has said that state governors are — and should be — ultimately responsible for managing state shelter-in-place orders. When previously asked about whether he would issue a national stay at home order, the president repeatedly deferred to the governors.

At the end, he again mentions the broken system he received from the previous administration.

America is in a crisis and Donald Trump's disingenous, dishonest, misleading re-writing of recent history is a disgrace.

During the q and a, he childishly attacks a female reporter, saying if he had the information, she'd be the last person he'd tell.

"This country has been ripped off by everyone", Trump complains, in another "not my fault" rant. A few days ago an editor at the Guardian wrote a long piece arguing that because of Trump, the global standing of the U.S. has fallen to its lowest level ever, and it will take decades for the U.S. to recover its global image, if it happens at all. He gives lots of examples of how Trump has caused this fall.

To add insult to injury, look who will serve on the economic task force: the un-royal couple, Ivanka and Jared, Trump buddy and former talk show host Larry Kramer, sleepy Wilbur Ross and Steve Mneuchin. Not a single medical or disease expert.

At the Colorado Convention Center, a few short blocks from where I live, the Army Corps of Engineers is busy building a "pop-up treatment facility" with 2,000 beds to house an "expected surge" in coronavirus cases. Supposedly, the facility will be used to house patients transferred from hospitals who aren't well enough to go home. (I hope that doesn't mean still sick patients who they want to take off ventilators, to free the ventilators up for patients who are younger or without other health conditions, making them more likely to survive. That would make the new facilities more like death tents rather than a recovery facility. 2,000 seems like an awful lot of beds for Denver).

Colorado Case Summary (Updated 4/13 at 4 p.m.):
* 7,691 cases
* 1,493 hospitalized
* 56 counties
* 38,742 people tested
* 308 deaths
* 72 outbreaks at residential and non-hospital health care facilities

Testing is still unavailable in Colorado except to select groups of people.

The virus is still spreading fiercely through the jails, infecting guards and inmates. (Guards, who can go home at the end of their shift, may unknowingly spread the virus, especially if they are asymptomatic).

The virus has now appeared at an ICE facility. In New York, more than 20 NYPD members have died from the virus.

My view: Trump is unfit and too emotionally unstable to occupy a desk in the oval office. The press should shut down these self-congratulatory, dishonest pressers which Trump is using as campaign commercials. (He again called Biden "Sleepy Joe".)

Trump has done an abysmal job of handling this crisis. Americans are afraid, and should be afraid because the country is like a rudderlsess ship with Donald Trump trying to find the helm, which is always beyond his reach.

Not mentioned enough: The effect of the shut-down on the Trump Organization, which is in the hospitality business. His hotels are shuttered, of course he Trump wants to restart the economy now. Trump is always motivated by self-interest. With every decision he makes, we must not forget to ask: What's in it for Trump and his family?