Not with that lifespan. The famous John Winthrop was nearly 100 years earlier.
Wait...there are two John Winthrops there. Neither one is the famous one. Must have been a popular name.
His eldest son, John, known as John Winthrop the younger, born in Groton Manor, 12 Feb., 1606; died in Boston, Mass., 5 April, 1676, after being educated at Bury St. Edmunds school and Trinity college, Dublin, entered the Inner Temple, but, finding the study of law little to his taste, obtained temporary employment in the naval service and sailed under the Duke of Buckingham in the unfortunate expedition for the relief of the Protestants of Rochelle. A little later he made a prolonged tour of Europe, passed some time in Padua, Venice. And Constantinople, returning home in 1629, to find his friends busy with the great Massachusetts enterprise, in which he was soon actively enlisted. In 1631 he followed his father to New England, and he was shortly afterward elected an assistant of the Massachusetts colony, which post he retained for eighteen successive years.