Update from New York State:

It's critical for us to make the vaccine as accessible as possible and provide all opportunities for New Yorkers to get vaccinated. Beginning Thursday, April 29, all New York State mass vaccination sites will open to eligible New Yorkers for walk-in vaccination on a first-come, first-serve basis for all. The walk-in appointments are reserved for first doses only—second-dose appointments will be scheduled immediately after New Yorkers receive their first dose. This new approach means any eligible New Yorker age 16 and older will be able to walk into any mass vaccination site and walk out with a shot in arm, eliminating the need to make an appointment online or by phone. We'll continue to work 24/7 to get the vaccine to communities across the state so everyone can be vaccinated. So roll up your sleeve and let's get vaccinated, New York. 

Read the press release: https://www.governor.ny.gov/news/governor-cuomo-announces-all-new-york-state-mass-vaccination-sites-will-be-open-walk