It's high relative to the south or florida but the order says the vaccination rate is 56%.
Seattle has a 78% vaccination rate [1] and SF has a 71% rate [2]. NYC is pretty low rate of vaccination relative to major libral cities. It seems that boston, a comparable east-coast city has a closer, but still higher vaccination rate of 65% (link somewhat out of date) [3]
[1] https://kingcounty.gov/~/media/depts/health/communicable-dis...
[2] https://sf.gov/data/covid-19-vaccinations
[3] https://www.mass.gov/doc/boston-vaccination-data-report-july...