Yes, with no need to copy anything extra, reject changes, or use VBA. Simply turn off Track Changes, and then you can copy the deleted text without any issues. Don't forget to turn it back on before making further edits to the document.
(Tested on Word 2007 because work still lives in the past, but I recall this working in 2010, and at least as far back as 2003. I can't imagine they would have changed this in the latest version.)
This generalizes for what changes can be copied and pasted into another Word document, and whether they are pasted as changes or not.
+-------------------------------------------------------------------+
| Destination |
| TC On | TC Off |
+-----------+--------------------------------+----------------------------------+
| S TC On | All existing and inserted text | All existing and inserted text |
| o | pasted as inserted text. No | pasted normally. No deleted |
| u | deleted text included. | text included. |
| r --------+--------------------------------+----------------------------------|
| c TC Off | All existing and inserted text | Existing text pasted normally, |
| e | pasted as inserted text. | insertions pasted as insertions, |
| | Deletions pasted as deletions. | deletions pasted as deletions. |
+-----------+--------------------------------+----------------------------------+
Can you paste in notepad ? – malat – 2017-01-09T13:07:58.190
2Not posting as an answer since it involves rejecting changes... One solution would be to make a copy of your doc and then reject all changes in the copy. (You can reject all changes in one action.) Your original doc still has all the changes, your new doc is a historical version without the changes (deletions). You can now simply copy and paste from the new doc. – chue x – 2017-01-09T20:44:00.390