I think I've seen similar threads already.
Yes it can, but it depends how you understand improvement. If you expect it to make the country richer, better situated economically, compared to the rest of the world, I doubt it. Though I think it can improve the distribution of wealth among the people, which in a way improves the economy.
Bitcoin has a unique feature that allows people to work outside the system, which is very important in poor and corrupt countries. You can sell your knowledge and time in the Internet and receive instant payments from all around the world, without the need to pay transfer fees and without the need for permits from your local government. You're also not pressured by prices of your local competition and can keep your business in relative secrecy.
I think bitcoin can improve the economy and it will benefit the users more than the authorities. As any thing come it's come with both pro's and cons. So as with bitcoin, it has advantages and disadvantages both. Bitcoin runs on Internet so you always need a stable Internet connection. But it's unique nature make it so popular. Its advantages are so attracting in future million of people will connect it. As it's not under any authorities there is not as such benefits to the government.