As far as I know, no. Paper is mainly composed of cellulose, which is present in all trees. They use a complicated chemical process to make paper, which eliminates any structure that would make the different woods identifiable. The individual cells have been destroyed, along with any DNA, which is to fragile to survive the process. However, if you had enough scientific equipment, you could tell the difference between paper that was made different ways, due to chemical signatures. You might even be able to trace it back to a particular company, but only if that company’s paper is unique. So, no, paper is nearly impossible to trace to different places without additional information.