Well, the simple answer is yes.

It is possible in almost any network to log your sessions. If your machine is at work or at a school then monitoring your online activities is pretty simple and with a software your desktop can be “watched” without you being even aware of that.

You should know that most wi-fi hotspots are unsecured and can be very easily be “tapped”, if you need to learn more on how secure your wireless network then follow this link. One more step that you can take no matter what network you are on is to get yourself a good firewall like the COMODO’S Award-Winning Firewall.