No, it is most likely not.
A problem is terminology. What do you mean by class? If you mean this code, sure, it's immutable. But 'this code' is not something that is particularly relevant to the concept of immutability. That usually makes a lot more sense if we consider it: this type.
As in, is the type Abc immutable?
As in, given:
public void foo(Abc abc) { ... }
is it safe to assume that the received abc couldn't possibly change?
And then the answer is no. That is not safe to assume: The type Abc is mutable.
The reason is that someone could make this:
class SneakyAbc extends Abc {
private int id;
public void setId(int id) {
this.id = id;
}
public String getId() {
return id;
}
}
This is why immutable classes are virtually always made final, to fully guarantee it.
Depending on how fancy you want to paint with the brush of 'what does this term mean', if all methods of Abc are final, you can consider it immutable as well if you really want to: Whilst the class does not need to be immutable (a subclass can add a new non-final field and create getters and setters for this), all the stuff you can 'witness' from the Abc type, assuming you don't use reflection, do appear immutable.
Exactly what definition of immutable you go with would be required knowledge to delve any further.
Note that something like java.io.File has only final fields and is final, and yet, it has easily observable state that can be modified: just.. delete the file, and voila you can see it. You can pull similar stunts with an IdentityHashMap to create a faux but nevertheless very observable 'field'.
Thus, 'immutable' as a concept: Useful. As a boolean flag to bestow upon a certain type or some java source file: Not useful.