The hits just keep on piling up on Donald John Trump.

The latest batch of them involves more media reporting that the president asked intelligence officials to push back on the FBI investigation into that “Russia thing.” Director of National Intelligence Dan Coats and National Security Agency Director Adm. Mike Rogers said, um, “No can do.”

The FBI is looking into allegations that the Trump presidential campaign colluded with Russians who were hacking into our electoral system, seeking to influence the 2016 presidential election outcome — in Trump’s favor!

Trump keeps denying any collusion. Yet these reports keep piling up suggesting something quite different.

The Washington Post has reported this latest live grenade to blow up in the president’s face as he travels through the Middle East and Europe on his first overseas venture as leader of the free world.

A special counsel, Robert Mueller, already is on the job. Senate and House intelligence committees are at work as well in the hunt for the truth.

And, yes, so are the media — the scorned “enemy of the American people” and purveyors of “fake news.”

I am not going to predict with — as the late PBS talking head John McLaughlin would say — any “metaphysical certitude” that the president is heading straight for impeachment. But certain elements of the progression of events keep suggesting something such as that might occur.

Michael Flynn is going to invoke his Fifth Amendment privilege against self-incrimination as the FBI looks into the former national security adviser’s Russia involvement; former FBI director James Comey is going to talk publicly with congressional committees about memos he wrote chronicling some alleged attempts by Trump to obstruct justice; and Mueller is going to talk to a current senior White House aide who has been deemed a “person of interest” in this ongoing investigation.

Just think: Donald Trump’s time in the only political office he ever sought is just beginning.