They already do, it is called a college fund, or 529 plan. Most parents with any sense are investing early because that's the only way to save up the $200,000 that college will cost per kid.
Ah, ok, I hadn't heard of it in my country, but it makes sense someone in the US had it :)
College in my country is free if you want to (but many people, including myself, believe you're better off going to a private, paid university anyways, for most careers).
Some people in the "basic income" movement propose the government give every newborn a certain grant for future large expenses like college. (The EIC is sort of like this, but just for lower income people.)
[0] https://bigfuture.collegeboard.org/pay-for-college/college-c...
Select public in-state college, and 18 years from now, 4 year, it will cost $225K. Better get saving!