HI wot'
How are you selecting the table?
When the table is active, you should see the row and column reference tabs to left of and above the table.
Clicking the circle at the intersection of these tab lists (top left of the table) selects the whole table.
With the table selected, you should be able to Copy it (Edit > Copy, or command-C) or Duplicate it (Edit > Duplicate Selection, or command-D), then Paste the copy or drag the duplicate to where you want it.
Testing with Pages 5.6.2, I was able to Paste a copy into a separate Pages document, but not able to drag and drop a duplicate table into a second document.
Sierra or High Sierra may have changed this behaviour in Pages 6—one of the reasons I've chosen to not 'upgrade.'
Regards,
Barry