No, the APA in-text citations only ever use the year of publication. What you'll do instead is assign your sources letters: a, b, and so on, to append to the year.
In-Text Example
Blah blah (American Heart Association, 2011a). Further, blah blah blah (American Heart Association, 2011b).
References Page
American Heart Association. (2011a). A title of a webpage etc etc.
American Heart Association. (2011b). Another title of a webpage etc etc.
The order of the a and b depends on the order your sources are listed on the References page, which is alphabetically.
