No, because science can only deal with the natural.
Or is it specific aspects of ID that you object to?
Those too. For instance, the claim that "irreducibly complex" biochemical systems could not have evolved. That claim is simply false.
But my stongest objections to it are theological. The god of ID is an incompetent engineer, who is constantly coming up with new, flawed designs and then scrapping them.
It's also claiming that God is constantly performing "signs" in his tickering with life. That borders on blasphemy.
That is NOT the God of the Bible.
Fundamentally, evolution relies on the hypothesis that all life forms (or certainly most life forms) trend to higher complexity. So the big question in my mind is why only primates evolved to become sentient. Why are there not a vast array of higher order being? You know, monkey-man, horse-man, cat-man, and maybe even roach-man?