Yes, he can be impeached more than once

Hopefully, he won't have to be. He'll be gone.

In 2016, Turkish strongman Recep Tayyip Erdogan asked then-Vice-President Joe Biden to lean on federal prosecutors who were investigating a Turkish bank for financial crimes and to hand over a dissident cleric living in the United States. The requests seemed to be on Biden’s mind when he publicly addressed reporters and piously explained that, in the United States, the justice system doesn’t work like that. “I suspect it’s hard for people to understand that as powerful as my country is, as powerful as Barack Obama is as president, he has no authority under our Constitution to extradite anyone,” Biden explained to reporters. “Only a federal court can do that."

  NY Magazine Intelligencer

I think you can see where this could be going.

Well, the justice system works like that now.

The New York Times has a comprehensive report on Erdogan’s successful efforts to recruit top Trump administration officials into his corrupt scheme.

Scandals tend to be complicated, especially scandals involving banks. But this one is extremely simple. The basic elements:

1) The Justice Department was prosecuting financial crimes by a Turkish bank.

2) Turkey’s president asked President Trump to quash the investigation.

3) Trump has personally received more than $1 million in payments from business in Turkey while serving as president. 4) Two attorneys general loyal to Trump, Matthew Whitaker and William Barr, both pressured federal prosecutors to go easy on the Turkish bank.

[...]

“In mid-June 2019, when [Geoffrey] Berman met with Mr. Barr in Washington, the attorney general pushed Mr. Berman to agree to allow the Justice Department to drop charges against the defendants and terminate investigations of other suspected conspirators,” the Times reports. When Barr subsequently fired Berman, who resisted his pressure, Justice Department officials cited his stubbornness on the Turkey case “as a key reason for his removal.”

[...]

The misconduct found by the Times is actually much worse than the hypothetical behavior Biden said would lead to impeachment for two reasons. First, it undermines Trump’s own foreign policy.

I think that's a misreading of Trump's foreign policy. His foreign policy is to get whatever he can personally out of foreign connections.

The crimes for which the bank, Halkbank, was being investigated relate to violating American sanctions on Iran. After the Obama administration relaxed sanctions on Iran as part of a nuclear deal, the Trump administration ramped up those sanctions and used them as the lynchpin of its strategy in the region.

[...]

And second, Trump’s own financial interest is a factor Biden did not imagine in 2016. When Trump was asked about Turkey in 2015, he conceded that he had a conflict of interest. “I have a little conflict of interest because I have a major, major building in Istanbul,” Trump told Breitbart. “It’s called Trump Towers — two towers, instead of one. … And I’ve gotten to know Turkey very well. They’re amazing people. They’re incredible people. They have a strong leader.”

Now that's his foreign policy.

...but hey, do what you want...you will anyway.