I cannot say for certain for NJ, but I would say most likely, as the DHS considers tree services to be essential services, and it’s hard for the states to close businesses the federal government deems essential.
"This list is advisory in nature. It is not, nor should it be considered, a federal directive or standard. Additionally, this advisory list is not intended to be the exclusive list of critical infrastructure sectors, workers, and functions that should continue during the COVID-19 response across all jurisdictions. Individual jurisdictions should add or subtract essential workforce categories based on their own requirements and discretion. "