Fakhīrah
Yes. Fakhīrah is formed from the classical adjective fākhira (فاخرة) and is attested in Arabic lexica and literature; it has been used historically as a feminine epithet and, less commonly, as a given name.
The root F-KH-R (ف-خ-ر) centers on notions of pride, excellence and distinction. In names it usually conveys commendable honor, nobility or splendid qualities.
While Arabic in origin, Fakhīrah is used sporadically in Malay and South Asian Muslim naming traditions where Arabic-derived poetic adjectives are adopted, typically in educated or literary families.
In Arabic the root conveys both 'pride' and 'honor' depending on context. Fakhīrah used as 'splendid' or 'noble' is a positive epithet; parents often consider tone and intention when choosing names to avoid connotations of arrogance.
Fakhīrah is an adjectival, more literary and rarer name emphasizing nobility or splendor; Farah means joy, Fatima has prophetic/historical significance—each has different roots and cultural weight.