You ask two different questions. First: you cannot. Second: Yes.
AFAIK, you cannot save the Xcode project and get the template automatically. You can use the project as a starting point for a new template.
Creating an Xcode template is a manual process, you will need to rename a lot of things and follow non-documentary naming conventions. The best place to learn Xcode templates is the default templates provided by Xcode.
You can start here: Change Templates in Xcode
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