Is there any callback to tell me when "build" function is done?

 

General solution

Just to clear things up, I did not expect this question to attract so much attention. Hence, I only answered for this very specific case.
As explained in another answer WidgetsBinding offers a way to add a one time post frame callback.

WidgetsBinding.instance!.addPostFrameCallback((_) {
  // executes after build
})

As this callback will only be called a single time, you will want to add it every time you build:

@override
Widget build(BuildContext context) {
  WidgetsBinding.instance!.addPostFrameCallback((_) => afterBuild);
  return Container(); // widget tree
}

void afterBuild() {
  // executes after build is done
}

Specific (async)

Elaborating on Günter's comment:

@override
Widget build(BuildContext context) {
  executeAfterBuild();
  return Container();
}

Future<void> executeAfterBuild() async {
  // this code will get executed after the build method
  // because of the way async functions are scheduled
}

There is a nice example illustrating that effect here.