Gdot is giving you shit for suggesting wearing Brooks Brothers (relatively higher quality) with Jos. A. Banks (relatively lower quality and not thought of well here, in general) together. But the answer to your question is: Yes. You can mix clothes from different brands. There is no need to wear outfits made up of all the same brand.
Thank you for clearing up. I was a bit confused at the first response. Those two name brands were the first two that came to my head. I'm here to learn . Thanks for the help.