No and it will never be. Bitcoin will never become the future of money as it doesn't have the basic characteristics of being a money. Money is basically a contract between the central bank to pay the bearer the similar value in exchange of a note. So money is regulated by a central authority and backed by some tangible asset like gold.

On the other hand, bitcoin is not backed by any tangible asset and not regulated by any central authority. It is anonymous which is not a characteristic of a money. You can say, bitcoin is an alternate currency which is creating a parallel internet economy.