The statement is False.
Generally speaking, most metal atoms are larger than most non-metal atoms. This trend can be attributed to the atomic structure and electron configuration of these elements. Metals tend to have fewer valence electrons and a larger radius due to the presence of additional electron shells compared to non-metals, which usually have a higher electronegativity and tend to gain electrons rather than lose them.
As we move across the periodic table from left to right, the atomic size decreases. Thus, metals on the left side are typically larger than their non-metal counterparts on the right side. Therefore, the statement that most metal atoms are smaller than non-metal atoms does not hold true in a general context.