Why not? It isn't hard to build machines that are stronger than we are or faster than we are. Even if there is some sort of strange mirror version of Turing's thesis that prevents us from creating AIs more intelligent than we are, inventing an AI that is equally intelligent but faster would accomplish much the same thing.
Also, bootstrapping is highly effective in countless other contexts within computer science, what do you think will prevent it from being applicable to this problem?
Also, bootstrapping is highly effective in countless other contexts within computer science, what do you think will prevent it from being applicable to this problem?