Yes. You can move your licence to a new domain yourself with Reset Domain in your Dashboard, and your credits move with it. Each licence includes 3 domain changes.
Each reset counts as one domain change; the licence card shows how many you have used, for example 1/3. When they are used up you see Domain change limit reached; contact support if you need to move it again. After a reset, the old site stops running campaigns.
Moving the whole site? Export your campaigns first under Settings → Export / Import Campaigns and import them on the new site.
Start with 25 free posts — no credit card needed.