Internet, TV, and phone service restoration always waits until the power companies have made the lines safe in the area of downed lines. In addition, Optimum has distribution nodes (the grey boxes) on phone poles for every 30 or so homes. These require power. If the power is out on that pole, those customers will not receive Optimum service. Some Optimum poles are getting generators at locations where it is feasible.
As a stopgap for Internet access, most smart phones allow you to tether your WiFi computer and tablets to the phone’s internet connection. This should be adequate for email, web browsing and Facebook. Video streaming is not advised.