Yes, you can access the share settings for each recording and disable the Share this recording option. The recording will still exist on your Zoom account but will no longer be accessible to others.
More info about sharing cloud recordings can be found here: https://support.zoom.us/hc/en-us/articles/205347605-Managing-and-sharing-cloud-recordings
Hope that helps and please make sure to mark the solution as accepted if this information is what you needed.