Does the film 'Fantasia' have a storyline?

Most of the works played in the film are program music; that is, instrumental music that depicts stories in sound. However, the Disney program is generally not the same as the original. This criticism was addressed in the film itself. The host and narrator of the film, Deems Taylor, introduces each piece in the program and gives background on the original intent of the composer. There is no intent to deceive anyone into thinking that the Disney visual accompaniment was the "original intent" of the composer.
It's hard to explain, best to read what the site has to say...
https://en.wikipedia.org/wiki/Fantasia_(film)

Neither the 1940 film nor the 2000 film has one single running story line. The premise of each movie was the creation of an animated scene that fit well with the music, and the artist's (or the director's or the screenwriter's) visual approach to the music. Each movie is a concert in which the audience is taken through various visual and aural interpretaions of each of its numbers.