Not from World War One. Your US Army "Great Seal" button has a raised border, which is a type in service from 1910 through the present. However, World War One era Great Seal buttons were manufactured with a "black finish" on them, to make them less visible to the enemy than shiny brass ones. Your button shows not even a slight trace of "black finish" on it, so it is most probably from 1923 or later. (Manufacture of the "black finish" version ended in 1923.)