Nope. He was minority counsel for the Senate Watergate Committee. That's were he earned his gravitas. But, that was a long time ago.
From Wikipedia:
In numerous feature films, including The Hunt for Red October (1990), Cape Fear (1991), and In the Line of Fire (1993).
Senate career
On November 8, 1994, Thompson was elected to the United States Senate to fill the unexpired portion of the term ending January 3, 1997,