No. New York City is northeast of Salt Lake City, not due north.
They sit at nearly the same latitude (~40.7° N). NYC is ~2,500 miles (4,000 km) east-northeast of Salt Lake City. The great-circle bearing from SLC to NYC is ~75° (ENE).
Cities due north of SLC: Boise (ID), Great Falls (MT), Calgary (AB). Cities due east: Denver, Omaha, Chicago.