Hello, i would like to know if it's even possible to controll a servo with one push button, so that when the button was pressed the servo would rotate to a specific angle, and when it's pressed again it would rotate to another specific angle, both angles pre defined.
Yes. Plausible and fairly simple to do. Look at the early examples that come with the IDE.
Specifically, look at the StateChangeDetection example (File->examples->02.Digital->StateChangeDetection) to see how to detect when a button is pressed (vs if it is pressed or not) and then move to a predefined location. Have a variable that indicates the servo is there. When the button is pressed again, look at that variable and either move to position A or B
This is exactly what you need: Button toggle servo motor