No, since people still need help with community and state colleges. Education, historically, is a great equalizer. There is some concern that it is not equalizing opportunity as much as it should since children born into riches can easily get into prestige schools than someone born into poverty.
However, having no degree in today's economy will, on average, result in much lower lifetime earnings and increase a person's dependency upon the state.
Colleges are getting expensive since they are competing in an arms race on amenities, bureaucrats, and buildings, not instruction. The solution to reduce the arms race is to tie aid to strictly to instruction, along with the government eliminating federal money to students at schools that continue to increase prices while enrolling disproportionate levels of high income students.