You should be able to make an export with the Backup Restore plugin and edit the XML file to remove everything you don't need (i.e. anything that's not a Page or Page Part)
The Backup Restore plugin supports partial imports. (so you could for example import a single Layout)
Assuming you're importing on a virgin system, you can then simply empty/truncate the page and page_parts tables... then import the partial XML.
I've used this technique myself and it works. The most common problem that can happen with this technique is conflicting page IDs which is why you should ideally empty the page & page_part tables to reset the automatically generated ID.
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