I'm assuming you're an undergrad... I would say almost certainly not. For one thing, you have no funding (but you say you wouldn't need it). But there is another issue here, and that is the matter of legitimacy/public perception, for lack of a better phrase. Research is almost always conducted as a team effort, with a seasoned scientist at the helm. If you submit a manuscript and you have no doctorate-level advisor on your list of authors, I think people are going to question the validity of your work. They are going to wonder how you, alone and with your relative lack of knowledge and experience, managed to execute a good study. Also -- and I mean no offense by this, because I really have no clue about you as a person -- I find it highly doubtful that any undergrad, without an advisor, could put together a study of sufficient quality that it would be considered for publication by any respectable journal. People don't just have advisors as a formality (usually); they have them so that they can benefit from their superior knowledge/experience/funding. You will not have any of those advantages, and frankly, I don't think you'll be able to compete with those who do.