No; if Angel of Destiny enters the battlefield attacking (by whatever means), then "[f]or the purposes of ... effects", such as that of its last ability, "[it] never 'attacked'" this way (C.R. 508.4). This is true even though a player or planeswalker (as appropriate) is chosen as Angel of Destiny enters this way unless given by the effect putting Angel of Destiny onto the battlefield (C.R. 508.4). In this case, "attacked this turn" means that Angel of Destiny was declared as an attacker at any point of the turn before its last ability resolves. See also this thread.
Ah, so if something triggered because it attacked something/someone, then it has to be on the field during declare attackers phase.
Although this might be true, it's an unusual way of saying things. Magic has so many cards and combos, someone might be able to contrive a scenario within which that statement becomes false.
A safer approach is to stick with the actual rules:
508.2a Abilities that trigger on a creature attacking trigger only at the point the creature is declared as an attacker. (...)
508.4. If a creature is put onto the battlefield attacking, (...) such creature [is] “attacking” but, for the purposes of trigger events and effects, [it] never “attacked.”
FYI: The declaration of attackers is a step, one of the five steps of the combat phase. (rule 506.1)
Magic has a glossary defining more than 550 words; incorrect nomenclature often leads to incorrect rules comprehension.
EDIT (Jan. 5): Correctness edit.
A safer approach is to stick with the actual rules:
508.4. If a creature is put onto the battlefield attacking, (...) such creature [is] “attacking” but, for the purposes of trigger events and effects, [it] never “attacked.”
FYI: The declaration of attackers is a step, one of the five steps of the combat phase. (rule 506.1)
Magic has a glossary defining more than 550 words; incorrect nomenclature often leads to incorrect rules comprehension.
RULES OF MAGIC :
http://magic.wizards.com/en/game-info/gameplay/rules-and-formats/rules