There have been attempts by some conservative and religious groups to boycott various businesses over political issues. But I can’t think of one, at least not recently, that has caught on.
Or that has been as nasty, vicious and sustained as the boycotts and intimidation of businesses run by Color of Change, The “Human Rights Campaign,” Media Matters, the anti-Israel BDS movement, and other left wing groups.
I’m not saying there haven’t been conservatives who have tried to run nasty and vicious boycotts, but doing so on a regular and sustained basis is the province of the left. And the left does it so much better.