Yes but one can still be both under different circumstances.
it's very common in strongly hierarchical societies/organisations;
- they are unassuming in front of a superior
- they are arrogant to their underlings when they are the top dog (eg. when the superior is not around)
- some are even arrogant to underlings in front of their superiors, assuming the culture supports such flexing.
- hence, wanting to above others.
There's a few choice words for behaviour like this but it would be rude to use them on an esteemed world leader.