It is common practice for operators of web services (e.g. web sites) to block IP addresses when there was malicious traffic originating from that address.
It is also common practice that internet users don't have a static IP address but get one assigned by their ISP via DHCP.
Now I would expect that it sometimes happens that a specific IP address gets banned from a service and later that address gets assigned to another user, leaving the new user (temporarily) banned from the service for no apparent reason. However, I never had this problem or heard of someone having that problem.
Does this sometimes happen? If not, what prevents this from happening?