APA: How to cite chapter and edition in book
It is possible (I know at least of one journal, giving such recommendations in addition to the APA style).
But in this form, according to my experience, it's more common for the MLA style while rarely used with the APA. What you also might want to do is to include two references: one for the chapter (only pages in parentheses) and another for the edited book (only edition in parentheses).