Sure, but if stability is your goal, you're much more likely to find stability by attempting to create a small business than by attempting to create billion dollar business.
My suspicion is that a person who is constantly chasing a billion dollar business is going to have to make a lot more hops than someone chasing a more modest goal.
This is not a recommendation to avoid those billion dollar goals, just an observation on relative probabilities, and what is an appropriate target if your goal is stability.
Small business is fragile endeavor, comparing to both regular employment and scaling small business to larger one with higher resistance to risks.