Are there any Final Fantasy Spirits in Super Smash Bros Ultimate?

No.

Cloud (the Fighter Spirit) is the only Final Fantasy Spirit in Ultimate.

From the Wiki page:

Final Fantasy is the only series represented only by its respective playable character, without any additional type of Spirit depicting them.

and

Final Fantasy is the only series represented by a fighter not to have any Spirits besides Fighter Spirits.

And also:

Before the final release of the game, many believed that the Final Fantasy series had no Spirits at all, due to the many speculative resources having no Spirits listed for the Final Fantasy franchise, Midgar once again having only two music tracks, Cloud being solely voiced in Japanese, and a rumor that stated Cloud was absent from World of Light. All of these circumstances lead to many fans complaining about Square Enix not letting Nintendo properly use their license, however, it is most likely because of conflicting copyrights and contracts Square had in place before their inclusion in Ultimate's development, as is the case with Cloud not speaking in English.

So it sounds like due to the usual Square Enix copyright situation surrounding Final Fantasy and Cloud in Smash, Sakurai's team was unable to get any FF spirits outside of Fighter Cloud.