AlterEgo SEO Help

Hello so I’m in a situation, I previously owned the domain “” but didn’t renew it. By the time I wanted to it was bought by huge domains, with it now going for $3500+ instead of $11. So I came up with an alternative domain name, but I want to have it when “Alterego Branding” is searched our site is the first pick. Is this possible, if so how can this be done?