Unfortunately, I think that the answer is no. The "I think" part is because Microsoft may have a migration tool, but I don't think that it works between versions.
Specifically, the installation process does not just copy files to the installation directory. In almost all cases, it makes entries all over the Windows Registry, and the application will not run without these entries. Some installations even copy files into the /windows directory tree. So unless the app is specifically designed to be a "portable application," you can't copy it.
Microsoft does have a migration tool that will back up applications on one machine and set them up on the new system, but I think that it's only for replacing machines with the same version of the OS. Would someone please chime in and correct me if I'm wrong?
Finally, most manufacturers will provide replacement disks, if the purchase was fairly recent (like not ten years ago) and they are still in business. Good luck to you.
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A thought. Do you have a second disk onto which you are going to install your win7 trial? I strongly recommend it, so that you don't risk damage to your XP installation and all those irreplaceable programs.