No, yeast is unicellular and eukaryotic, but it is classified as a fungus rather than a member of the kingdom Protista because it shares more similarities with the kingdom Fungi.
Fungi are cosmopolitan and can be found almost anywhere.
Chitin and polysaccharides make up the cell wall.
They can reproduce both asexually and sexually.
Protista does not have pseudomycelial growth, which yeasts do.
As a result, they are classified as fungi rather than Protista.