No, because those who accept evolution are, in effect, saying that someone can win the lottery without it being fixed. Whereas the creationist is saying that it is impossible for anyone to win the lottery unless it has been designed for a particular person to win it.
This is a better analogy to the evolutionary process: You have millions of random number generators running at the same time. Every so often, and it is probably not so rare, two of them will match to, say, 25%. These two now no longer generate numbers entirely by random. Rather each of the numbers that match will only change random, say once every 1000 draws. The numbers that do not match continue to be generated entirely at random, but when two of them match between the two generators they now follow the rule of the ones that already match.
There is now a race, of sorts, in which some of the numbers that match will be no longer match after enough rounds, while others that did not match will now match. And depending on how things turn out, the numbers might fall completely out of sync, or become increasingly more alike until they are almost identical.
That turned out being much more complicated than I set out for it to be. I hope it is understandable.