The supply chain of clothing is very international.
Most European brands have their clothes manufactured in Europe. It does not matter if the specific brand is French, British or Scandinavian etc. They all use the same factories, roughly speaking. Parts of this might involve outsourcing to China and who knows where else the salary is cheap, but generally the sewing is mostly done in EU still.
However. The textiles used for manufacturing almost always come from various parts of Asia depending on the material. For instance, silk and synthetic fabrics are from China, denim/cotton from India, wool from Turkey etc. It’s very difficult to find textile elsewhere in any meaningful quantity. It might be possible to find a few tiny brands doing something local, but overall, Europe is in no way self-sufficient in textiles. An outlier is Italy. Italian fabrics are known for good quality, but they cost more, so it’s mostly used by luxury brands all over Europe.
Greenland is part of NATO just the same way that all other Danish territories are.