You may need to visit msdn.microsoft.com to get more information about the implementation of Word's activeX ablities. Once you find a promising command, Microsoft usually has a VB example that can copied/translated into LabVIEW. I believe finding the command and an example to be the hard part of the problem.
LabVIEW controls have a method to read their image. You can use this with some coding to save the image to file. (Be sure to look at the help for the method).I am not sure how you would get it into Word at that point but it is a start.