Yes. Lizards are reptiles: they belong to class Reptilia and, with snakes, to order Squamata.
Living reptiles are air-breathing vertebrates with internal fertilization, amniotic development, and epidermal scales covering part or all of the body. Britannica lists the major living groups as turtles, tuataras, lizards and snakes, and crocodilians.
Most lizards also have movable eyelids and external ear openings, traits that help distinguish them from snakes, though a few lizard lineages are legless.