EAGLE Modules with Layout
No. There is no feature for this.

There are a few workarounds involving disconnecting the schematic &lt;-> board connection.

Make sure you have a backup

https://www.element14.com/community/thread/13846/l/block-copy-in-eagle-pcb-layout


  Sometimes circuit boards will have duplicate sections of schematic
  that you want to layout identically.  You could do this by laying out
  each section separately, but for large or complex layouts this would
  be very time consuming.  Eagle does not have a function that allows
  you to directly duplicate your layouts, so you have to use this
  workaround:
  
  
  Create the schematic for the section you want to duplicate.  You can have additional schematic done at that time too if you like.
  Create the layout for that section.  You can have additional layout done at that time if you like.
  Close the layout so that you only have the schematic open.
  Use the window selection tool to surround the section of schematic you want to duplicate in the layout.
  Use the scissors tool to copy the selection to the buffer.
  Use the dropdown EDIT: PASTE to finish the copy operation.
  Save the schematic and close it.
  Open the layout. Click OK to acknowledge the warning about the schematic and board not being consistent. Close the schematic that
  opened when you opened the layout so that you only have the layout
  open.
  Do the same window select, scissors, paste operation on the layout.  YOU MUST COPY EXACTLY THE SAME ITEMS AS YOU DID IN THE SCHEMATIC. 
  THIS INCLUDES COMPONENTS AND NETS.
  Save the layout and open the schematic.  You should have both the schematic and layout open at this point.
  In the layout, run ERC and you'll get a long list of nets that don't match.  Don't worry: you only have to fix each net once.  This
  is usually only 5 or 6 nets to fix the whole list.
  The original section of layout will have nets named GND.  The new section will have them named GND1.  The original section of the
  schematic will have the nets named GND.  The new section will also
  have them named GND.  The task here is to rename the net GND1 to GND
  in the layout.
  Type "show GND1" in the command line.  This will highlight GND1.
  Use the name tool (R2 Icon) to change the name GND1 to GND.  If prompted, the rename applies to all nets.
  If you run ERC again, you'll find that all of the GND/GND1 errors are gone.  Redo this renaming process a few more times for the
  remaining name1 nets and you're done.   
  
  
  Additional note: If you don't
  have any airwires for the net you're trying to rename then you'll have
  to create one using the line tool and the name tool: Create a line. 
  Rename that line using the R2 tool to the net name you need to rename
  (e.g. GND1).  This will connect the line to the pad that was
  previously un-airwired.  Now you can rename the airwire or line to the
  right name (e.g. GND) to fix that net.