In short: not reliably. The Arduino Nano expects either a 5V regulated supply or a 6-20V unregulated supply (https://www.arduino.cc/en/Main/ArduinoBoardNano). ... On the other hand, if you're set on using a 3.7V LiPo, other Arduino boards (like certain versions of the Pro Mini) run at 3.3V.Apr 6, 2016