Will a speeding ticket in New York transfer to North Carolina?

From the New York State DMV FAQ:

If you do not respond to a ticket or fail to pay a finefor a moving violation that you committed in any state except Alaska, California, Michigan, Montana, Oregon or Wisconsin, the DMV suspends your NYS driver license until you respond to the ticket or pay the fine. If a driver from a state except these six states fails to respond to a traffic ticket issued in NYS, their driver license will be suspended until the driver responds to the traffic ticket in NYS.

If you don't care to read that, then the short answer is yes.