Yes, there are elements with atomic numbers one and two on the periodic table.
Hydrogen (H) - Atomic Number 1: Hydrogen is the first element on the periodic table. It is the lightest and most abundant element in the universe, making up about 75% of its elemental mass. Hydrogen has one proton in its nucleus and one electron surrounding it.
Helium (He) - Atomic Number 2: Helium is the second element on the periodic table. It is a noble gas and the second lightest element. Helium has two protons in its nucleus and two electrons in its electron cloud.
Both hydrogen and helium are important elements with unique properties and various applications in different fields of science and industry.