Yes, you can change all IP addresses of that cluster.
Changing the nodes IP is a standard Windows procedure
Changing the IP address of the cluster => failover cluster manager - properties of the windows cluster
Changing the IP address of the resource group => failover cluster manager - roles - properties of the resource
make sure that all new IP addresses also be shown in the SQL configuration manager - network configuration
Here is documentation on how to change SQL IPs, maybe that helps
https://learn.microsoft.com/en-us/sql/sql-server/failover-clusters/windows/change-the-ip-address-of-a-failover-cluster-instance?view=sql-server-ver16#WSFC
Edit:
Maybe - take care of your DNS server - check there if all names are pointing to the new addresses