No it would not be possible. The economy of scottland is in the trillions of dollars, while the market cap of bitcoin is under 10 billion dollars. This is simply not feasible.
Also if scottland were to use bitcoin as a currency then the price of bitcoin would go up so quickly that there would be too great of incentives to attack the network verses the costs to attack the network that bitcoin would be destined to fail.
The GDP of Scotland is just under a $250 billion. Still a large number in terms of BTC capitalization. But a bigger problem in my mind is what do the rural areas with no internet (and often no mobile service either) do for currency in a country with no physical coin? And are all businesses regardless of size and model going to be required to have internet and equipment to be in business? Will citizens be required to have smartphones to buy groceries and a computer to pay the heating bill?