It is possible but not probable. Especially in getting ALL your cores/selectives/electives done within 2 years. There are ALWAYS delays. Plan on at least 24 months if you ONLY wish to be in NYC. My son did 85% of all his 3rd and 4th year in Chicago, only 2 rotations elsewhere - surgery core (3 months) in Mass and ER elective (4 weeks) in NYC. His time frame was May - May - Feb. or 20 months.
Hope that helps.