Yes. Settings → Import / Export. Export settings downloads a small .json file; Import settings on the other site reads it back, and everything is set the way you had it.
Settings only — no posts, and never your licence key.
Placement rules that name a particular page, post or category are the one thing left behind, because those are numbers and the page that is number 412 on one site is something else on the other. The message after the import tells you, and you pick them again. Importing a file back into the site that made it keeps everything.
Still stuck? Ask the developers who wrote it. We aim to reply within one business day.
