Can a subject complement follow a action verb?

A subject complement is called a subject complement because it 'completes' the subject; it tells what the subject is or has become. A linking verb 'links' the object to the subject with further information about the subject.

When an action verb is used, how it is used determines if it is a linking verb.

Example action verbs that can be linking verbs:

feel: I feel fine. (I=fine, a linking verb); I feel the warm sand. (not a linking verb, I'm not and I don't become the sand)

appear: You appear happy. (you=happy, a linking verb); I look and you appear. (not a linking verb, there is no object)

grow: Jim grows taller every year. (Jim=taller, a linking verb); Jim grows roses. (not a linking verb, Jim is not and does not become roses)