It is absolutely possible. There are people who are doing trading for living for many years. But, in order to reach this target, you would need to have several years of continuous experience on the market, significant capital invested and good strategy
If you intend to live from forex, start planning your future from very first point. Equip yourself with good knowledge and build your skills and strategy during time. Dont forget that you will also need to have substantial capital invested in order to generate enough profits
I remember reading a study where the results showed a $3k profit per month off of a $30k investment. Of course several factors would affect that but it was just to kind of give a general idea of what you could make.