Is there any way to save a form as template and not to share it with others?

Is there any way to save a form as template and not to share it with others?

Not, that is not possible. If you share your form in the templates gallery, it will be available to anyone: https://www.jotform.com/help/157-Sharing-a-form-in-the-form-templates-gallery 

If you want to have a template to avoid creating the form from the scratch again, you can simply clone your form: https://www.jotform.com/help/27-How-to-clone-an-existing-form-from-your-account

Open a new thread if you need anything else, we will be glad to assist you.