Can I connect 220V AC supply to Node MCU (or any arduino)pin D1 and D3 while node MCDU is power off?
No, never! 220V is way way way too much for a microcontroller. The Uno runs on 5V, the ESP8266 on 3.3V. You should never connect any more voltage than that to the microcontroller. Also you must not connect a negative voltage to the microcontroller pins.

Besides the voltage difference: You should also not connect a voltage to the pins of a microcontroller, while the microcontroller itself is turned off (meaning that it does not have the necessary supply voltage). In that case a parasite current would run through the clamping diodes, which powers the microncontroller, until the diodes get blown.



As an important side note: Don't do anything with mains power (like 220V AC), until you really know, what you are doing!!! One error and it can kill you !!!