No.
Search engines deal with syndicated content all the time. Every time there’s a news story, that article gets published and republished across dozens, even hundreds of news websites. So how do we make sure that syndicated content, like reblogs, don’t hurt anyone’s SEO?
Google suggests that syndicated content have a link to the original post, as well as a no-index tag on the syndicated post. This tells Google not to rank the syndicated content higher than the original post.