Yes, you can transfer your existing SSL certificate to a new Shopify site if you change the website URL. The process of transferring the SSL certificate will depend on the type of certificate you have and the SSL provider you used to purchase it.
In general, the process of transferring an SSL certificate involves generating a new certificate signing request (CSR) from the new website, and then using that CSR to request a new certificate from the SSL provider. The SSL provider will then issue a new certificate for the new website.
It’s important to note that some SSL providers may charge a fee for transferring the certificate to a new website, so you should check with your SSL provider for more information on their specific process and fees.
Additionally, you should make sure that the new Shopify site is properly configured to use the SSL certificate, including configuring the proper settings in Shopify and ensuring that the SSL certificate is properly installed on the server.