Hall of Famers before the 1930s weren't since there was no all-star game then. I am not sure about ones after that.
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Baseball Hall of Famers who played 10 years or less in MLB: 1) Pitcher Joe McGinnity (1899-1908) 2) Pitcher Addie Joss (1902-1910) 3) Infielder Jackie Robinson (1947-1956) 4) Catcher Roy Campanella (1948-1957) 5) Outfielder Ross Youngs (1917-1926) 6) Outfielder Ralph Kiner (1946-1955)
Well the MLB didn't start having All-Star games until 1933 so there are several players with zero all-star appearances so several players including Tris Speaker, Eddie Collins, and Christy Mathewson are all Hall of Famers without any all-star appearances
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Lefty Gomez was inducted into the MLB Hall of Fame on February 2, 1972.
You have not played enough seasons.