It looks like your 'else' statement is under the wrong 'if' block. Based on your goal, you should have it so that if a key is not pressed, you are writing Arduino.LOW to pins 9-12. Basically, just move a bracket:
void draw() {
if (keyPressed == true) {
if (key == 'w' || key == 'W') {
arduino.digitalWrite (12, Arduino.HIGH);
}
if (key == 's' || key == 'S') {
arduino.digitalWrite (11, Arduino.HIGH);
}
if (key == 'a' || key == 'A') {
arduino.digitalWrite (9, Arduino.HIGH);
}
if (key == 'd' || key == 'D') {
arduino.digitalWrite (10, Arduino.HIGH);
}
}
else {
arduino.digitalWrite (12, Arduino.LOW);
arduino.digitalWrite (11, Arduino.LOW);
arduino.digitalWrite (9, Arduino.LOW);
arduino.digitalWrite (10, Arduino.LOW);
}
}