Yes it could, but then again, LEGO is on a completely different scale than angry birds.
With LEGO there was no story, no plot, no purpose, no motivation. Any story with LEGO was imagined by the kid playing with it.
Can the same be said about angry birds? Probably not. There is a vague story (Pigs steal eggs, Birds are angry) but there isn't much room for imagination.
On top of that, LEGO is a cultural phenomenon that has stood the test of time. The same can't be said with Angry Birds (see the article above).