Yes it is possible if the annotation has @Inherited added to it. For example, the @Transactional annotation has @Inherited.
From the docs:
Indicates that an annotation type is automatically inherited. If an
Inherited meta-annotation is present on an annotation type
declaration, and the user queries the annotation type on a class
declaration, and the class declaration has no annotation for this
type, then the class’s superclass will automatically be queried for
the annotation type. This process will be repeated until an annotation
for this type is found, or the top of the class hierarchy (Object) is
reached. If no superclass has an annotation for this type, then the
query will indicate that the class in question has no such annotation.Note that this meta-annotation type has no effect if the annotated
type is used to annotate anything other than a class. Note also that
this meta-annotation only causes annotations to be inherited from
superclasses; annotations on implemented interfaces have no effect.
Docs of @Transactional:
@Target(value={METHOD,TYPE}) @Retention(value=RUNTIME) @Inherited @Documented public @interface Transactional
Off topic: You cannot subtype an annotation though in Java.