Would this be possible to do? = Numismatist?

There is a group of dedicated one coin each country collectors. Of course that goes all the way back to the first countries. They know they will never finish such a collection, due to time and expense. With the world changing all the time even to do modern countries will not be easy and would also never be finished. I doubt you would get much help from the Embies of a lot of countries or they would tell you to buy them from their mint or central bank. You are going after too much at once with no knowledge of world coins. You would need a copy of Krause/Mishler Catalog of World Coins 2000-2009. There are also 1601-1700,1701-1800,1801-1900 & 1901-2000. All 5 books are not cheap, I know I have them. World coin can be bought from world coin dealers by the pound and that is an inexpensive way to start. Most governments don't give away money and not all countries have embies here. It will cost you to do what you want.