Yes. You can usually point your own domain to services running on your server by updating the relevant DNS records at your DNS provider or registrar. The most common setup uses A or AAAA records pointing the hostname to the server IP.
If you are migrating an existing production domain, lower TTL values ahead of time when possible and test carefully before switching live traffic.
Remember that domain DNS is managed wherever your domain's DNS is hosted, not necessarily inside the server service itself.