Yes — in Batman: The Brave and the Bold ’s “Game Over for Owlman!,” Owlman was already running crimes disguised as Batman, and Batman teamed up with the Joker to stop him from continuing that spree. The versions of the episode available in the sources don’t specifically describe Owlman trying to run Batman over for the purpose of avoiding exposure, but they do show Owlman committing crimes in Batman’s costume and Batman returning to team with Joker to take him down.

What the episode says

  • Owlman had escaped and was committing crimes in Batman’s costume.
  • Batman and Joker teamed up against him.
  • The conflict centered on Owlman’s attempt to keep his scheme going while Batman was being hunted by other heroes.

On your specific question

The sources I found support the broader idea that Owlman was trying to keep Batman out of the way so his crime spree could continue, but I did not find a source explicitly confirming a “run Batman over” moment for that exact motive. So the safe answer is: probably not stated that way in the episode description, even if the scene may have involved Owlman trying to stop Batman by force.

TL;DR

Owlman was definitely trying to keep his Batman-disguised crime spree going, but I couldn’t verify that he specifically tried to run Batman over for that reason.