Yes. Some of them have a microSD card slot, so you can insert a microSD card and record to that. But any of them can record to a network drive (NFS/SMB/CIFS) or an FTP server. Honestly the best results though come from running surveillance software on a PC.
Thanks for the info. I keep seeing/hearing recommendations for Blue Iris. I will have to look into purchasing a copy of it. The software will give me complete control of the camera to setup motion pictures and videos?