Depends on what you mean. Elsewhere I've cited the basic forces of physics as providing the necessary direction.
Now, I don't quite know what is meant by "directed" . . .
Your word. What are you saying?
. . . and the real Second Law of Thermodynamics doesn't actually have any qualifiers on whether or not this energy is "directed"
Which is what I'm saying.
. . . but I've learned that accuracy in the application of scientific theories is not really important when it comes to "disproving" evolution (even though, in this case, the formation of the universe is not at all a part of evolution).
I've noticed that, too. No argument is spared against evolution.
My point is that "spontaneous" increases in the information of a system can happen, have happened, and are not forbidden. They do have an energy cost, but that doesn't have to be a big deal. The universe is full of energy available to do work, even after fifteen billion years of making entropy.