It's probably because you don't have the correct permission in JIRA. To be able to create projects you'll need to have the Global JIRA Administrator permission.
You can refer your administrator to the following resource ok this community to find out how he can either give you the JIRA Admin permissions or install a plugin that'll give you a bit more fine grained permissions: https://community.atlassian.com/t5/JIRA-Core-questions/How-to-give-users-permission-to-create-projects/qaq-p/112071
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