Answer
No, Gregory Corso was not taught by Allen Ginsberg. Corso was born in 1930, while Ginsberg was born in 1926. Ginsberg's first book of poetry, Howl and Other Poems, was published in 1956, when Corso was 26 years old. Corso's first book of poetry, Gasoline, was published in 1958, when he was 28 years old. Ginsberg and Corso were friends and contemporaries, but they did not have a teacher-student relationship.