Can an interface be declared as final in Java?
No. The Java Language Specification section 9.1.1. Interface Modifiers states the following:
An interface declaration may include interface modifiers.
InterfaceModifier: (one of) Annotation public protected private abstract static strictfp
As can be seen, the list does not include final.
If an interface was declared final I suppose it could have meant that
No other interface could extend it
This would be a non-sensical restriction. The reasons for why it can be useful to declare a class final, is to protect state invariants, prohibit overriding of all methods at once, etc. None of these restrictions makes sense for interfaces. (There is no state, and all methods must be overridden.)
No class could implement the interface
This obviously defeats the purpose of an interface altogether.