Not quite. Charles the younger was kidnapped in 1932, when Hoover was in the process of running for reelection, and Lindbergh was nowhere to be found among the Dems running for president.
Lindbergh started his "America First" activities in 1940, some eight years after the kidnapping.
I don't know where you heard your info, but is sounds like it came from the tin foil telephone.
Lindbergh running for President in 1932 is news to me, too. Nevermind he was only 30, too young to run, and add to that, I never heard that he was a Democrat. His father, Swedish-born Charles August Lindbergh, was an Isolationist Republican Congressman from MN (although he later became an early leader of the fledgling Farmer-Laborite party) and his father-in-law was the NJ Republican Senator Dwight Whitney Morrow (who served until his death in 1931).