Yes ... since the Cy Young Award was started in 1956, every pitcher that won an MVP award for the year also won the Cy Young.
Those pitchers are Don Newcombe - 1956 Dodgers, Sandy Koufax - 1963 Dodgers, Bob Gibson - 1968 Cardinals, Denny McLain - 1968 Tigers, Vida Blue - 1971 Athletics, Rollie Fingers - 1981 Brewers, Willie Hernandez - 1984 Tigers, Roger Clemens - 1986 Red Sox, and Dennis Eckersley - 1992 Athletics.
There is a line of thought that pitchers shouldn't win the award because they aren't everyday players. The last pitcher to win an MVP award was American League reliever Dennis Eckersley of the Oakland A's in 1992.
Steve Young won the league mvp in '92 and '94.
Don Newcombe of the Brooklyn Dodgers won Rookie of the Year in 1949 and both the MVP and Cy Young awards in 1956.
There have been four pitchers to win the MVP award since 1971, all in the American League: 1) 1981 - Rollie Fingers, Milwaukee Brewers 2) 1984 - Willie Hernandez, Detroit Tigers 3) 1986 - Roger Clemens, Boston Red Sox 4) 1992 - Dennis Eckersley, Oakland Athletics
Hank Greenberg in 1940. Since then, pitchers Hal Newhouser won MVP in 1944 and 1945, Denny McLain in 1968, and Willie Hernandez in 1984.
Derek Jeter won the 2000 All Star Game MVP Award.
Win an All Star Game MVP and World Series MVP in the same season
1981 Joe Montana 1984 Joe Montana 1988 Jerry Rice 1989 Joe Montana 1994 Steve Young
When did Jim Brown win an NFL MVP award