Yes — if you have access to 2 organizations in Spidergap, you can copy a project template from one organization to another.
To copy a project:
Login to Spidergap
Go to the My Projects page and click the green Create new project button
Give the new assessment a name, e.g. "Leadership 360 2015"
Click Copy an existing project
5. Select the project you wish to copy.
If you have access to more than 10 projects and cannot see the one you wish to copy, then start typing the name of the project you wish to copy.
6. Click Create project