Although you can find programs and online services that claim to support jpg to doc conversion, you can achieve this by any modern word processor actually. Just open a new or existing .doc document and use the import object function to import the picture on one of the pages.
Updated: July 7, 2016
Articles and other information relating to jpg into doc conversion:
How to export and convert text from scanned document to text file - Recovering text from scanned documents and pictures