Yes, you may set up FooEvents on a staging or development site before moving to a live production site. For a Single-domain license, the license should only be used on one live production website at a time.
When you are ready to go live, log into your FooEvents-Konto und öffnen Sie die Licenses section. Disconnect the plugin or bundle from the staging site, then connect it to your live production site. A license key will be shown for the live site.
Copy the license key shown for your live site and paste it into the FooEvents-Lizenzschlüssel field under FooEvents > Einstellungen > Lizenz on your live WordPress website.
This help doc explains how to connect a FooEvents license to a site and set up automatic plugin updates.