The Nano has 14 digital pins, including the two used for serial communication, and 8 analog pins, which can also be used as digital pins (at least 6 of them can, anyway).
16 servos need 16 pins. The three axis accelerometer needs three pins. That WiFi modules needs two pins. That is using 21 of the 20 or 22 pins you have.
You mention a servo board but have said nothing about it. If you can offload the servos to that board, and use SoftwareSerial to talk to it, then you should have enough pins.