No, the maximum OS you can install on your machine is 10.4.11 (Tiger).
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According to Mactracker, the maximum OS you can install is 10.4.11 (Tiger), but as rdlk's new post indicates, if you have a fast enough processor you can meet the requirements, refer to his post for that (however I agree with him that it's probably not worth it, it'd be too slow and sluggish for use).