Can I recover more than workers' compensation benefits in New York if I am injured on a construction site?

Yes. That is possible if there was a violation of one of the labor law provisions that govern workplace safety at construction sites in New York. There are duties on the building owner and the general contractor to make sure that the area is safe. If there is a violation that you can be established, then an injured worker can recover the full extent of damages including pain and suffering, full wages, future wages, loss of pension rights, and the whole element of complete compensation not just the worker's compensation, if there is a violation of one of these laws.