"Yes", in general but "not yet", in practice. FATpick's internal data-format supports color-coding the note "bubbles" to indicate the recommended finger to use to "fret" the note, but the standard import format doesn't include this information.

FATpick has an algorithm to programmatically determine where to place your fretting hand and fingers (when the information isn't available in the score) but to be honest I wasn't confident enough in that logic to enable it by default quite yet.