By Joseph Ax and Brendan O’Brien NEW YORK (Reuters) -New York City’s historic, two-year snow drought may not come to an end this weekend, despite the arrival of a winter storm system that began passing through the most populous U.S. city and across the East Coast on Saturday. The city’s 8.5 million residents have not seen more than 1 inch (2.54 cm) of snow fall in Manhattan’s Central Park since Feb. 13, 2022, a record-long streak of 692 days. But as of 7 p.m. Saturday, only 0.2 inch had been recorded in Central Park, and the National Weather Service was forecasting only 0.8 inch of accumulatio…