The statement is false.
Work Step by Step
A full octet of electrons means that atom has 8 valence electrons. While for most atoms, reaching a full octet of electrons is their tendency to become most stable, a hydrogen atom only has 1 electron. Therefore, to reach a full octet, 7 more electrons must be added to the hydrogen atom. The whole process, as a result, is very energetically unfavorable, since these 7 electrons newly added must constantly occupy new empty subshells. So a hydrogen atom is never willing to reach a full octet of electrons, so it cannot be most stable there. The statement is false.