Yes, however you will need to create a new File Location, pointing to "Triggered automation" folder:
[![enter image description here][1]][1]
Once you've done so, you can select it in step 2 of File Transfer Activity configuration:
[![enter image description here][2]][2]


  [1]: https://i.sstatic.net/1W7No.png
  [2]: https://i.sstatic.net/eCmTH.png