Companies have no God-given right to exist
Absolutely. But you can't necessarily force them to exist and create employment either. There absolutely needs to be a regulatory framework for markets to operate in (including labour markets).
However, if you make it too expensive/awkward/inefficient to employ people due to government imposed or union negotiated wages and conditions, businesses will find ways to not employ people, or not operate in your jurisdiction/market, or at all.
Unless you're suggesting central planning/communism where everyone is employed by the state. I think it's been tried, but not successfully.