Technically you could track requirements in JIRA itself, so a single Sync could act as an import. There are also a number of dedicated requirements add-ons in the Marketplace, but none support JAMA import as far as I know. You may want to reach out to the vendors directly and see if maybe they support it, but it's not widely publicized. There are also broader integration platforms like Tasktop https://www.tasktop.com/product-overview which integrate JIRA with a suite of other tools. This may support you in switching to a requirement management tool outside of the Atlassian ecosystem, but still keeping things working with JIRA.
Finally, Atlassian Partners can help you find custom solutions to this kind of thing. Our company helps customers with custom migrations between software, and I know for sure that many other Partners do as well.
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