No, this is unlikely to be the case, the government haven't bought into the ideal that bitcoin is trying to sell. Sure they believe in cashless transaction but there are numerous ways to achieve that that would still give them (the government) control over our finances as that's only what they're after. They won't want to risk losing that control by making us be our own bank which can be easily achieved with bitcoin.

Centralized digital currency are the perfect currency for the government as they push towards a cashless society, that's the currency they'll be advocating for but then it's left for us citizens to choose which is best for us.