One can just as easily make the statement that capitalism is not possible in a world without money.
In fact, the ongoing disbursement of productive tooling into the general population shows very clearly that extant economic and technological conditions are resulting in decreasing need for capital investment to produce goods. When I can simply print small plastic parts, I have no need to buy parts from traditional factories.
A brief and cursory glance at the present bleeding edge of 3D printing shows that the technology isn't limited to small plastic parts, either. Concrete, metals, and practically every conceivable material - even including live cells - can be printed.
Capital is required for the development of factories. It is unnecessary for personal crafting of goods (in the sense meant by capitalism, an economic system dependent on large pools of capital, rather than considering that $1 in my pocket is capital), and the rapid penetration of personal production tooling, and breadth of the applications of such tooling, shows that capitalism is being replaced by personal crafting of goods.
RE: Could you ever imagine a world with NO MONEY?