I tried to answer this once and I think I lost my post so will try to answer this again. As I understand your question you are asking if evolution can restart or in other words can organic molecules, i.e. amino acids, be formed by lightning strikes in the ocean say and start a new line of evolution. Well certainly anything that happened once can happen again. However, in the begining, when the first building blocks of life were formed they were free to float around as long as they wanted (to be anthropromorphic) and combine and grow or whatever at their leisure. Now, however, as soon as any proto life spontaineously formed some passing organism would see it as food and gobble it up. So although the probability of new lines of evolution are mathematically possible they are highly unlikely.