Transistor Amplifier Classes
Yes, the same amplifying classes applies to FETs or other amplification devices.

What defines the amplification class is the conduction angle and the presence (or absence) of switching during operation (like PWM modulation, etc), not the amplification device (transistor).

However, voltage-controlled devices like FETs are generally better suited for switching amplification classes (D, E, F...) due to its inherently superior switching performance compared to BJTs.