Probably not. The tariffs are a lever for Trump to personally work out self-enriching deals with individual countries. Vance doesn't have the kinds of connections that Trump has to leverage those kinds of deals, he's only really tied to Theil and company who put him in his current seat.

I also put Vance's odds of winning real low, unless Trump dies rather soon. Vance was the first VP pick since we started doing political polling that reduced his ticket's approval rating. He's not nearly popular enough to keep up the cult of personality that Trump has built. If he's not President by the next election, I doubt he'd win the primaries.