The concept of a theoretically safe method of buying and selling via the Internet is definitely compatible with what we know about the prophesied future, especially during the Tribulation.
There will be a one-world government with a common currency controlled by international banks. Bitcoin, or some similar system, could be the medium of exchange for the Beast’s economic dictatorship (Revelation 13).
Christians during that time will be killed or driven underground, where they will need some alternative method of obtaining necessities of life. A different version of electronic currency might assist them, but only if Christians have access to an alternative method of electronic communication, since use of the main Internet (or whatever it will be called then) will be denied to them.
In the meanwhile, during this current time period, the “beginning of birth pains” (Matthew 24:4-8) – preceding the Rapture and the beginning of the Tribulation–Bitcoin might also allow people to conduct business in spite of oppressive government controls.
A limited number of bitcoins are created each year by prescribed methods of “mining.” They have no intrinsic value, but neither does our paper dollar now that it is not based on gold. Ownership of bitcoins is maintained on the Internet and identified only by a complex user number and a safe password. Advocates of the rapidly expanding Bitcoin currency claim that it is safe because of its cyber-encryption but wealth can be stolen if the owner reveals the passwords. The whole concept is extremely volatile at present, and has been misused in a variety of ways that make Christians and conservatives cautious. Some people have become millionaires by using the system, but others have gone into bankruptcy. Nevertheless, it has grown exponentially during its first few years, and an ever-increasing number of businesses, great and small, are accepting bitcoins as payment.
Only time will tell whether or not this currency concept will last, and if it does, whether or not it will be used when the Beast imposes the Mark of the Beast and limits commerce to those who have his mark.