I wouldn't suggest it. And, out of curiosity- why would you want to live on juice indefinately? Please be careful, your post makes me wonder if you have a eating disorder. Personally, I would only juice fast for a few days at most. Definately not forever!
if you also have hemp or flax oil, you can go around 92-100 days and still feel vibrant. after that, it isnt optimal. you also have to be careful because you become very sensitive afterwards, so be aware. if youre not 100% and willing to partake in enemas or colon hydrotherapy, it's probably not recommended.
Read 80/10/10 by Dr. Graham and Green for Life by Boutenko. You don't want to live on juices alone. Enjoy fresh fruits and green smoothies, and plenty of carrot, fruit and green juices in there, too. Live it up, the idea you have that you can maintain a green juice only diet is unrealistic for long term (fine short term for juice cleansing), and you'll end up reverting to unhealthy foods if you restrict yourself so drastically for long periods of time. Even while juice cleansing, I recommend veg and fruit juices, not just green juices.