Rules as written: No.

The closest FAE comes is on page 12:

> Your character’s own aspects provide a good guide for what you can do.
> If you have an aspect that suggests you can perform magic, then cast
> that spell. If your aspects describe you as a swordsman, draw that
> blade and have at it. These story details don’t have additional
> mechanical impact.

Depending on how you interpret that, it either gives the detail granting powers of Fate Core without the cost, or it may be a more limited version of that power. 

FAE is an example of how to twist the dials in Fate to create a very simple game. Fate is designed to be highly hackable, so you can drop in the version from Fate Core if your table prefers it.