Well the US invaded Greenland when Germany invaded Denmark in WWII and have had a military presence ever since.
The US also engineered Panama's independence in order to get sovereignty over the canal zone, which they completed. And then of course they actually invaded the country in 1989.
Just learned from Wikipedia that the US previously considered buying Greenland in 1867 and actually made an offer to buy it in 1946.
So the idea is clearly not new.
Now, this is Trump so a lot of bluster and unclear what he is actually getting at but in an historical perspective neither this nor (re)gaining control of the Panama canal (which the US only fully relinquished in 1999) are new or crazy.
"Invaded" implies a hostile, or at least forceful takeover.
That's not what happened. In fact its local government reached out to the US and agreed to come under its wing as a de-facto protectorate, which it saw as a preferable alternative to Canadanian/British (and in any case German) intervention.
Ok, they "occupied" Greenland if you prefer although if they didn't have Copenhagen's greenlight it was an invasion. But that's largely semantics and does not address the general point and the fact that the US's interest in Greenland is not new despite Trump being Trump and they were keen to keep it. Even at the time it was not new.
The US also engineered Panama's independence in order to get sovereignty over the canal zone, which they completed. And then of course they actually invaded the country in 1989.