Yes, there are 2 ways in Dragon Metrics to handle domain name changes:
Create new campaign for the new domain
You can create a new campaign with the same set of keyword tracked, and monitor its ranking transition over time, after all the old ranking being transferred to the new domain, you can pause the old campaign.
Change campaign tracking URL
This method require cautious decision because as you migrate your old domain to a new one, we won't know when search engines is going to replace the old domain ranking with the new domain, and it can cause inconsistencies within Dragon Metrics' data. This option is not available in the app interface and if you'd like to change it anyway, please contact us for help.