Is it possible to simultaneously have an over-educated population and an under-educated population? I am having a hard time squaring the two prevailing ideas o

Is it possible to simultaneously have an over-educated population and an under-educated population? I am having a hard time squaring the two prevailing ideas on this issue. One is that we need more/free education because an educated population is best. The other is that we need to import vast amounts of new unskilled labor so we have someone to pick our fruit. I realize you only espoused one of these ideas, but I am curious if someone holds both those positions and would help me understand how both can be true at the same time.