You can use one copy of Word 365/2013 to produce the QR codes, save them as image files and use those image files in Word 2010. That is likely to create a job for someone, though.

The link I gave gives information about the implementation in Word 2013. Since I use Word 2013 for QR barcodes, I don't know what third-party applications might be out there. Perhaps someone else can suggest some.