No. The uninstall process only removes files that were originally installed, not files that were created after the installation. Similarly, the reinstall process only replaces application and system files not user created files. The update process is the same.
However, it is always advisable to back up your work to removable media frequently and locate all of your work folders outside of their associated application directories, preferably on a different hard drive partition to the rest of your program files.
It is also recommended that after updating to a newer version of the software you re-save projects created from older versions of Script Studio under a new name.