New York is 0-1 hour ahead of Kingston. New York uses Eastern Time (EST/EDT, UTC-5/-4) while Kingston uses Eastern Standard Time (EST, UTC-5). During standard time, both are the same; during daylight saving time, New York is 1 hour ahead.
Jamaica does not observe daylight saving time, so the difference varies seasonally.
Any time generally works! Since both cities are usually on the same time or just 1 hour apart, you can call during normal business hours with minimal adjustment.
New York has one of the largest Jamaican-American communities in the United States. The cities are closely connected by culture, music, and family ties. Direct flights take about 3.5 hours.