You can do it but the success is going to be dependent on
A. How healthy your hair is now
B. You regime and up keep afterward
C. The process in which you will get there
Print this picture out and make a couple of consultation appointments with some colorists. Go and see what they say, ask how many visits it would take to get you to that type of look, their suggestions about if they think your hair is in the condition to do it and what mantainence the look would require. Go with the colorist that you vibe with the best, the one you feel you can trust to listen to your needs and work with you. Some even have pictures of their previous work. If the maintance for this look is more than what you had in mind then ask about different ways to get a similar effect with less salon maintance.
For this type of color, you want to get their gradually since its more than 3 shades from your natural hair color.
If you hair isn't healthy now then wait. Test your elasticity, porosity and protein moisture balance.You are also going to have to switch to a mild relaxer after you get color. Your new regime after the color should include using a shampoo and conditioner designed for color treated hair and more deep conditioning sessions. You also would probably need to incorparate clear rinses to help protect your hair cuticle too on a regular basis. Color treated hair seems to need a more constant stream of protein than just relaxed hair. Tracy had some great color advice and she colors her hair alot and it looks great. Artemis started a thread nto to long ago and Tracy stopped in with more advice and some current pictures of her hair. I think the thread was Support thread for Colored and Relaxed hair...something like that, you should be able to find it. If not I can bump it for you.