Override button for door lock

You need to move the code that does the lock activation into it's own routine so you can call it from a successful keypad entry or a button press.
Connect a button from pin 9 to ground and this code should do what you want or at least get you going....

#include <Password.h> //http://playground.arduino.cc/uploads/Code/Password.zip //tells to use password library
#include <Keypad.h> //http://www.arduino.cc/playground/uploads/Code/Keypad.zip  //tells to use keypad library
#include <Servo.h> //tells to use servo library

const int servoPin = 12;
const int ledGreenPin = 11;
const int ledRedPin = 10;
const int buttonPin = 9;

Servo servo;

int servoAngle = 170;   // servo position in degrees

Password password = Password( "1924" ); //password to unlock, can be changed

const byte ROWS = 4; // Four rows
const byte COLS = 4; // columns
// Define the Keymap
char keys[ROWS][COLS] = {
  {'1', '2', '3', 'A'},
  {'4', '5', '6', 'B'},
  {'7', '8', '9', 'C'},
  {'*', '0', '#', 'D'}
};
// Connect keypad ROW0, ROW1, ROW2 and ROW3 to these Arduino pins.
byte rowPins[ROWS] = { 5, 6, 7, 8 };// Connect keypad COL0, COL1 and COL2 to these Arduino pins.
byte colPins[COLS] = { 14, 15, 16, 17 };


// Create the Keypad
Keypad keypad = Keypad( makeKeymap(keys), rowPins, colPins, ROWS, COLS );

void setup() {
  Serial.begin(9600);
  Serial.write(254);
  Serial.write(0x01);
  delay(200);
  pinMode(ledGreenPin, OUTPUT);  //green light
  pinMode(ledRedPin, OUTPUT);  //red light
  pinMode(buttonPin, INPUT_PULLUP);
  
  servo.attach(12);
  keypad.setDebounceTime(50);
  keypad.addEventListener(keypadEvent); //add an event listener for this keypad
  servo.write(170);
}

void loop() {
  keypad.getKey();
  if ( digitalRead(buttonPin ) == LOW ) {
    // button pressed
    activateLock();
    delay(1000);
  }
}

//take care of some special events
void keypadEvent(KeypadEvent eKey) {
  switch (keypad.getState()) {
    case PRESSED:

      Serial.print("Enter:");
      Serial.println(eKey);
      delay(10);

      Serial.write(254);

      switch (eKey) {
        case '*': checkPassword(); delay(1); break;

        case '#': password.reset(); delay(1); break;

        default: password.append(eKey); delay(1);
      }
  }
}
void checkPassword() {

  if (password.evaluate()) { //if password is right open

    Serial.println("Accepted");
    Serial.write(254); delay(10);
    //Add code to run if it works
    activateLock();
    password.reset(); delay(1);
  } else {
    Serial.println("Denied"); //if passwords wrong keep locked
    Serial.write(254); delay(10);
    //add code to run if it did not work
    // servo.write(170);
    digitalWrite(ledRedPin, HIGH); //turn on
    delay(500); //wait 5 seconds
    digitalWrite(ledRedPin, LOW);//turn off
    password.reset(); delay(1);
  }
}

void activateLock() {
    servo.write(20); //deg
    digitalWrite(ledGreenPin, HIGH);//turn on
    delay(4500); //wait 5 seconds
    digitalWrite(ledGreenPin, LOW);// turn off
    digitalWrite(ledRedPin, LOW);// turn off
    delay (500);
    digitalWrite(ledGreenPin, HIGH);//turn on
    digitalWrite(ledRedPin, HIGH);//turn on
    delay (500);
    digitalWrite(ledGreenPin, LOW);//turn off
    digitalWrite(ledRedPin, LOW);//turn off
    delay (500);
    digitalWrite(ledGreenPin, HIGH);//turn on
    digitalWrite(ledRedPin, HIGH);//turn on
    delay (500);
    digitalWrite(ledGreenPin, LOW);//turn off
    digitalWrite(ledRedPin, LOW);//turn off
    delay (500);
    digitalWrite(ledGreenPin, HIGH);//turn on
    digitalWrite(ledRedPin, HIGH);//turn on
    delay (500);
    digitalWrite(ledGreenPin, LOW);//turn off
    digitalWrite(ledRedPin, LOW);//turn off
    delay (500);
    digitalWrite(ledGreenPin, HIGH);//turn on
    digitalWrite(ledRedPin, HIGH);//turn on
    delay (500);
    digitalWrite(ledGreenPin, LOW);//turn off
    digitalWrite(ledRedPin, LOW);//turn off
    servo.write(170);
}