Not out of the box. Normally you'll have to be an admin to create projects.
We (Wittified) have an addon the Marketplace that allow you as the admin create templates out of the various schemes (since you know which schemesgo together). Project Creator for JIRA allows you then to delegate the creation of projects to a set of non-admins. Take a look at https://marketplace.atlassian.com/plugins/com.wittified.jira.project-creator
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