Yes, there are lots of reasonable ways that could easily have already been negotiated had a US President, desiring to keep hostile powers from having access to Greenland's resources, secure access to Greenland's resources for the US, and station a larger American military presence there for the defense of the United States and of US interests in the Arctic, had a temperament unlike Donald Trump's. Instead his "negotiating" style has alienated everyone else involved: the Danes, the Greenlanders, the EU, every member of NATO other than the US, and made it likely that even sensible and salutary proposals will now be opposed.
I think Trump is in some ways more maddening to those of us on the Right than he is to the Left: has a keen sense of things we on the Right agree are problems facing the US, but instead of talking with a variety of experts, then picking a course of action likely to succeed, he proposes (or if possible imposes) a "solution" he pulled out of his a**, that creates many new problems, even when it solves the one he intended (and often it doesn't even do that).