Yes, i do think they can because there was already an example about it, it's Bitcoin, the most valuable currency in this world.
Anything is possible in the world but certainly for some new initiatives in the world you have to control the media while the thing is in the initial phase which in the case of bitcoin is not in the sight. The media and the banking sector, both are giving the negative news about the uncertain future of the bitcoin and that is the reason most of the people are not ready to take bitcoin as a currency yet, but hopefully this will be cleared with the time and in some time (may be a bit later) bitcoin will take over the currency system.