Yes, you probably could. Depending on many variables. DA, link number, frequency, etc.. But more likely you will notice your blog page rank for those terms.
Why not target those blogs for those keywords and try to rank the specific blog's page for your target? In this scenario, it is vital that your blog is housed on your subdomain and not on some other platform. I contend you should be doing this with your primary blog regardless. This way that blog page will rank for said keyword, and it will land on your domain which will then allow users to browse your site as needed. Your domain picks up keyword ranking and the user finds what they want. Win - win.
