They sure can!
And when MORMONs finally do that; they become EX-mormons!
ALL their 'righteousness' will have become as filthy rags, and THEN they'll rely ONLY upon Jesus; the Author and Finisher of our faith; NOT upon any 'good works' that they think they have done.
Indeed. As Paul the apostle wrote under the inspiration of the Holy Spirit:
“For by grace you have been saved through faith. And this is not your own doing; it is the gift of God,not a result of works, so that no one may boast.”
http://www.biblegateway.com/passage/?search=Ephesians%202:8-9&version=ESVUK