Alcohol laws of New York

Only liquor stores may obtain a license to sell liquor for off-premises consumption. Grocery and drug stores may obtain a license to sell beer alone or beer and ''wine products'', such as wine coolers (but not wine). Minors visiting a liquor store must be accompanied by an adult at all times; a violation can lead to the owner or manager being charged with second-degree unlawfully dealing with a minor, a Class B misdemeanor.

Is this statement correct "can grocery stores sell wine in new york"?
no