Possibly yes in the near future but not entirely. Fiat I think would still be the main currency in the coming decade or more though I think other currencies would be accepted, especially bitcoin as some countries are already supporting this right now. But for the question if it can actually replace the current monetary system? I don't think I'd be able to see that in my lifetime
I don't think bitcoin will be able to replace money, from the amount itself, bitcoin won't be able to support half of the world wealth, and then for now the transaction speed still become number one problem why some store doesn't want to use bitcoin, so I don't think bitcoin can replace money