No, it makes no difference. However the reason is not because it is a member declaration inside an interface, as Jon says. The real reason is according to language spec (8.9) that
Nested enum types are implicitly
static. It is permissable to
explicitly declare a nested enum type
to be static.
At the following example static does not make any difference either (even though we have no interface):
public class A {
enum E {A,B};
}
public class A {
static enum E {A,B};
}
Another example with a nested private enum (not implicitly public).
public class A {
private static enum E {A,B}
}