No, you cannot leave home at 16 without your parents' consent in New York. According to New York state law, a minor under the age of 18 is not allowed to move out of their parent's or guardian's house until they are legally emancipated by a court. This means that even if you turn 16, your parents still have legal authority over where you live and who you live with until it is changed by the courts. If a minor does attempt to leave home without permission from their parent or guardian, then law enforcement may be contacted for assistance. Therefore, if you're considering leaving your family home before reaching the age of majority in New York (18 years old), it’s important to understand that this could potentially put yourself at risk and could result in criminal charges being brought against you as well as other legal repercussions such as fines or jail time.