Normally not, but please e-mail to Jolla customer service, include all IMEI numbers of broken and new device, purchase + invoice + customer numbers and date and explain the situation to them. I wish you good luck!
I had exactly the same experience as you and I had to buy a new Xperia 10 II. I contacted Jolla through Jolla Zendesk (https://jolla.zendesk.com/hc/en-us/requests/new) and they move license to my new device.