No, Giardia is not a fungus.
Giardia is a microscopic parasite that causes the diarrheal illness known as giardiasis. It belongs to the group of organisms known as protozoa. Protozoa are single-celled eukaryotic organisms (organisms whose cells have a nucleus) that are not fungi, bacteria, or viruses.
Fungi, on the other hand, are a kingdom of eukaryotic organisms that include microorganisms such as yeasts, molds, and mushrooms. They are characterized by having cell walls made of chitin and obtaining nutrients by absorption.
Therefore, Giardia, as a protozoan parasite, is distinct from fungi in terms of its cellular structure, method of obtaining nutrients, and its classification.