The analogy is not a random lump of particles but all particles in all configurations, of which you are a subset. Is the set of you plus a rock intelligent?
This is a fundamentally flawed argument, because a computer is not in all the states it can execute at once, and naively iterating over the set of possible states might well not have found a single intelligence before the heat death of the universe.
If we were picking me out of an equally large set of object, then I'd argue that no, the set is not meaningfully intelligent, because the odds of picking me would be negligible enough that it'd be unreasonable in the extreme to assign the set any of my characteristics.