Not in a meaningful way which Greenlanders would submit to. There would be constant unrest and civil disobedience, nothing would function, and bringing in your own people (including the armed forces) to keep things barely working wouldn't be a solution either.
Unfortunately Greenland as a whole has 50.000 people in total of which 20.000 live in largest city and the rest scattered across 19 others.
Thats about the size of a small town in the US, the country may be big in territory but not in population.
It happens all the time. America and the EU are bought and paid for. The funniest part is that they’re being paid for with the very money the buyers plunder with the left hand, only to use the right hand to purchase the treasonous dominant class.
It’s like a sleight of hand magic trick pulled on an infant that is then gleeful for the deception.