Yes, most likely. Regardless of how educated someone is there will always be people able to do more, for good or ill, with their education.
There will be someone who people will have in charge, someone to keep the peace, even if it only gets broken once in awhile.
Government, in one form or another, will always be in existance, wehter it's the old man in the hut at the end of the village or the several old men
in the big buildings in their countries.
Just as their will always be people against whatever version of government, for whatever reason they may have.

