No.
Research Universities are about Research. There are non governmental sources of funding for research, but they pale in comparison with government funding. If you want to make the case that the private industry should take on research, the problem is that there is no immediate profit in it. It can take decades, and few companies can invest decades of funding hoping for some eventual breakthrough. Moreover, in that model, research is slowed because companies are notoriously bad at sharing research with competitors.
So you either create national research centers, or you use research universities.