Nope. The fare basis code is GOW, so assuming that's in the G booking class, you get no AA miles at all. You do get LanPass miles (kilometers, whatever). The cheap fares (super economica web) accrue neither AA nor LanPass miles (kilometers).
LanChile.com says "full fare", meaning it's refundable, no advance purchase, etc., but apparently it's not really full fare, which would be the $37 Y fare seen on Expedia.com.