Giant sequoias tolerate drier conditions than California redwoods and thrive better in the East, though their size there is much less than in their natural range. (Grows in hardiness zones 5 to 8.)
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Redwood trees grown on the east coast tend to be shorter because these areas experience heavy winds, lightning damage and Redwoods grown on the east coast tend to be younger and still in the process of growing.
(And yes, there are giant sequoias that have been planted and are thriving in New York State, including at Wave Hill in the Bronx, Brooklyn Botanical Garden, and New York Botanical Garden, and on private properties on Long Island.
There are three species of trees commonly called redwood trees, and each attains a different size and tolerates different climatic conditions. The American Northeast's winters pose the most limiting factor to growing the various redwood trees.