Is it possible to connect a tivo to my pc and transfer all of the
shows stored on it to my hard drive?

If you have a video card with the proper preouts then you can run it
to your computer and record it as it plays. You would have to obtain a
program to record them to your computer thou. I did a quick look on
http://www.download.com and here is the first one i found that has
plenty of options SnapStream Beyond. But of course there are alot
cheaper ones.

There's a feature coming soon to tivos called tivo2go which seems to
offer the very functionality you are asking for.  I believe it will
only work on series 2 units, though.

thank you very much