You can. This functionality has nothing to do with putty, which is merely a way to obtain a login.
You want the program screen. man screen. It's a fullscreen terminal window manager. It can also run even when you aren't logged in. In other words you can ssh into the box and reattach a session and have all of your old terminal windows right there, doing whatever they've been doing.
screen (start screen session, opens terminal 0)
CTRL-A C (open another terminal)
CTRL-A " (lists all terminals)
CTRL-A D (detach session; all programs in all terminals continue running)
screen -r (re-attach an old screen session to your current login)
Last edited by mac_phil; 01-13-2004 at 12:48 PM.