Yes, but additional production is always produced via credit. A system without credit/debt does not need to grow and therefore it doesn't grow. Rain forest people are not forced to increase their 'output'. Their output does not grow in thousand years. Only nationalized people are forced to produce surplus, because they are forced to pay tribute. That's the root of credit/debt: organized violence (collectivism/society).
I am sorry but that's some weird, utterly false statements.
If I am owner of my production I will produce beyond my consumption needs (that's called capital accumulation) to improve my standard of living in the future, even if I have no debt. The capital accumulation will enhance my productivity and thus allow me to produce more output.
The output of rain forest people doesn't grow because their culture haven't evolved private property rules, it is no related to debt.