Not propotionally, no. The US comes 77th out of 150 or so countries in number of active military personnel per capita. Small countries with an existential threat looming over them like the two Koreas and Cuba have unusually large militaries compared to their size.
The US is the third most populous country so its military is still exceptionally big in absolute terms.
https://en.m.wikipedia.org/wiki/List_of_countries_by_number_...