millis() and micros() instead of delay.

Installer:
Question 1: Can I use micros() the same way as millis() when I want to delay some process ?

Yes

the second question is the code:
I want to remove all delay from this code, tried to do this but failed. Servo motor is not spinning.

The demo Several Things at a Time illustrates the use of millis() to manage timing without blocking. It may help with understanding the technique.

And Using millis() for timing. A beginners guide may also be useful.

(As You can see this is servo control code)

Why not use the Servo library?

...R