In this interview with Lew Rockwell, Peter Schiff discusses Ayn Rand’s influence on his life. He doesn’t explicitly say he’s an Objectivist, but indicates agreement with her philosophy.
His discussion of Ayn Rand starts at about 2:00
He is not an Objectivist, though he does like Objectivism there is some reason or another (disagreement on something perhaps) he wishes not to identify him as such. The most illuminating example of this was when he was on some news channel, both him and Yaron Brook, and they had a bit of a back and forth regarding Peter Schiff having Objectivist-aligned views for a moment within the discussion.