Let us be realistic to ourselves, is good to extreme to wait for government to make provision of every in a country, sometimes when we graduate from higher colleges we expected government to create employment opportunities but in some points government keep adamant of making employment be visible and available to the mass, on my instinct I said without government employment man can survive, I started a popcorn 🍿 business which I managed alone but right now have workers under me which I'm paying and now planning to establish another business.
If you need a straight forward answer then it's a yes, we can survive without government creating jobs but that'll make it very difficult since the private sector can't create enough job to satisfy the inflow of job seekers in a country which is why for a governments to have a successful reign in office, creating of job has to be on their agenda or they have failed their citizens. Job creation is very easy for the government to do than the private sectors.
Government has access to resources that will make job creation easier like capital to build industries, locations to establish those factories etc but for a private sectors to have all that available, they have to spend so much from their pocket that might kill the project before it even starts.
You can find a job or a business without the government's help, and it is possible. But without the government, you cannot exist, the government is the one who gives us peace, the one who protects us. Without their strength, I believe your business will face many difficulties from social evils and unfair competitors.
I used to run a restaurant business, I built everything, but without the permission and management of the government, I wouldn't be able to do business with bad people. My restaurant constantly has problems from the gangsters, and without the government's intervention, I cannot be in business.