Sub CopyHyperlink()
Dim Rng As Range
Set Rng = Selection.Hyperlinks(1).Range.Fields(1).Code
With Rng
  .MoveStartUntil Chr(34), wdForward
  .Start = .Start + 1
  .Collapse wdCollapseStart
  .MoveEndUntil Chr(34), wdForward
  .Copy
End With
End Sub