Not in the nearest future. Governments are fighting against cryptos. China is banning everything, Europe rejects Libra to take place, USA wants to ban TON and so on. We still have a long long way towards the mass adoption.
Governments have no interest to use the blockchain and its facilities in the real banking system. Their traditional banking is more than enough to survive under the economic crisis and they have power to print the money with one phone call. Especially the USA as an owner of worldwide backup currency, the FED will not let the threats to destroy their long term plans.