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
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.
Via Fred of Evil Hat's Blog:
For the record (again), FAE is Fate Core. It’s got the dials cranked in deliberately different directions than Core’s given defaults
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.