I defined a component with polymer like this:
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No, not outside of the Polymer element.
After reading up on Polymer, it looks like you can only have access to the shadow-DOM of Polymer elements in scripts within the Polymer element. The Polymer docs on Automatic node finding say:
Every node in a component’s shadow DOM that is tagged with an id attribute is automatically referenced in the component’s this.$ hash.
This means you can add a tag as a sibling to where this.$.test will be the element you want.
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