can capitalism exist without the state?

This is kinda like saying that humanity has never existed without crime.

Getting back to the original point, if I build the “means of production”, using my own labor and natural resources, according to Locke, I own those “means of production” forever – even if I never touch them again. It doesn’t matter that I don’t use them. I own them because I created them, again, according to Locke. What you attributed to Locke, what you don’t use, you don’t own, is completely at odds with Locke’s theory.

So again, I ask, why would anyone let others use his means of production?