i think so. with the help of technology, digital currency are replacing the position of fiat money, but it is basically happening in the developed country.day by day Bitcoin is becoming a profitable system which provides a lot of profit to the people. also day by day Bitcoin is getting accepted by the many platform. so that i can say that besides all other digital currencies, Bitcoin will replace fiat money in the future.
This has already began and the total takeover will happen in near future because world sees the benefits in digital currency and it gives more room to earn faster whereas cash is just fir buying and selling, as by seeing the popularity of bitcoin one thing is clearly predicted that the cash era will be end soon and world will be shifted toward the crypto currency.