I don't think the data leads to that conclusion.
As I noted earlier (where I quoted the Talia Jane thread), the cost of tuition and fees at 4-year public universities in NJ has increased from 7.8% of the median NJ household income in 1984 to 19.8% in 2013. That means an NJ public university student is paying comparatively $8000 more today. As I noted, that is a lot more money, but in a state with a median family income over $61K, it is not making or breaking anyone. Plus there are a whole host of financial aid options today that just did not exist 30 years ago.
But let's make the assumption that the increased tuition burden is borne exclusively by the millennial student without any assistance from his parents, and let's assume that student loans are the only form of financial aid used to offset that increased burden. So the millennial student is assuming approximately $8K additional debt for every year he is in college.
But as also noted by me and others in this thread, the wage gap between college-educated and non-college-educated has also widened. The millennial student can also expect to earn comparatively $6300 more per year today than a generation ago.
So the millennial, if he chooses to go to college, is paying comparatively $8000 per year more over 4 years, and then gets $6300 a year more in earnings. At a student loan interest rate of 8%, the millennial can use that extra earning to pay off 4 years of student loans in less than 5 years, and still have some of his extra income to spend on other things.