You can't install any of the standard plugins that allow for the creation of such fields, so no, you can't.
You may be able to do it with a "connect" plugin, but I've not tried it myself.
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Effectively, they're external addons - they can't hook into the Jira api, but they can talk to Jira in its own language and run inside it, sort of.
See https://developer.atlassian.com/static/connect/docs/index.html
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