Sure.
See this from Miscrosoft
http://office.microsoft.com/en-us/word-help/open-a-word-2007-document-in-an-earlier-version-of-word-HA010044473.aspx
OR
You could download OpenOffice (free) - see link on front page of Moodle.
OR
You could download it and email it to a friend who has a version of Word that can open it and ask them to save it as a Word 2003 doc (they do it in Save As) and email it back to you.
And
If you give me the module code and identify the document so I can find it, I'll have a look and discuss with your tutor alternatives that may be better for students.
Best wishes,
Pat