Yes, generally speaking, the further the valence electron is from the nucleus, the more reactive the atom tends to be. The reactivity of an atom is determined by its ability to gain, lose, or share electrons to achieve a stable electron configuration.
Atoms with valence electrons that are far from the nucleus experience weaker attractive forces from the positive charge of the protons in the nucleus. As a result, these valence electrons are less tightly held by the atom and are more easily involved in chemical reactions.
Atoms with one or a few valence electrons, such as those in Groups 1 and 2 of the periodic table (alkali metals and alkaline earth metals), are highly reactive because they have a strong tendency to lose their valence electrons to achieve a stable configuration. These elements readily form positive ions (cations) when they react with other elements.
On the other hand, atoms with nearly full or full valence shells, such as the noble gases in Group 18 of the periodic table, are generally unreactive or have low reactivity. Their valence shells are already stable, and they do not readily gain, lose, or share electrons with other atoms.
In summary, the reactivity of an atom is influenced by the distance of its valence electrons from the nucleus. The further the valence electron is from the nucleus, the weaker the attraction, and the more reactive the atom tends to be.