Of course he does! I’m sure all the Republican candidates want to do it:

Harwood: You announced your campaign at Liberty University. You’re appealing to Libertarians. The Libertarian Party platform in 2012 calls for Social Security to be phased out. Are they wrong as a matter of philosophy?

Cruz: Oh, I understand why they call for that. But I don’t agree with them. What I would like to see is several things. Number one, for those on Social Security or near retirement, no changes whatsoever. Honor the commitments. But for younger people, people in my generation, we should gradually increase the retirement age. Secondly we need to change the rate of growth of Social Security benefits so they match inflation rather than exceed inflation. Those two reforms on their own take Social Security from bankruptcy into solvency. But the third piece, and it’s what Bush fought for, is personal accounts. I think it is transformative to allow younger workers to put a portion of their taxes into a personal account that they own, that they control, and that they can pass onto their heirs.