Yes, you can install both versions of GeneSpring on the same system. However, you will have to change the ports on which each version will be running. To change the port for GeneSpring 13.0, please follow the steps below:
a. Navigate to the GeneSpring 13.0 installation directory
b. Go to \app\PostgreSQL\data folder
c. Open the postgresql conf file with a text editor program
d. Change the port. For example: port = 5438