Does anyone have any information on free apprenticeships for HVAC or construction in NYC?
Glad to see you're interests in a trade apprenticeship opportunity!! The New York State Department of Labor is an excellent apprenticeship resource. Their Apprenticeship page has all the information you will need to find out how to qualify, search, and apply for a preferred apprenticeship program.
Go to NYSDOL Website for more details and check out the Earn While You Learn. Become an Apprentice document whick outlines the basics then use the Apprenticeship Opportunities page to search for active apprenticeships.