How to make servo rotate for angle bigger than 180°
No. The continuous rotation servo rotates continuously and you can not control where to stop. You can control the rotation direction and the speed at a little.

What you need is either a special 270 degree servo, or you can use some mechanic, e.g. gears to transform the 0..180 rotation to 0..whateverrotation you prefer, depending on the gearbox ratio.

Alternatively, you can use stepper motors, where you can control steps in 1.8 degrees, and at the same time free to move as many turns as you prefer. Note though that steppers have two disadvantages compared to servos:


steppers require electrical current to hold their current position - for servo, the gearbox works ok for this
steppers don't know their initial position. So you need an optointerrupter or other means to learn the initial position first, then drive the steps to get to any position.
steppers require a more serious driving circuit, as well as a good power supply. Not for DIY robot running on batteries.


In industrial solutions, the stepper motor + some gearbox + an absolute rotation encoder is used to compose an industrial servo drive. (Similarly as a DC motor + some gearbox + an inexpensive potentiometer works in a model servo.)