From the sounds of things, if I understand you correctly...no.
The in-post pics are hyperlinked from a server where the picture is available 24/7.
You can set up a small photo server on your PC and link to your location, but the pics you link to will only be available when your machine is online.
Why not just upload anything you'd like to post to ImageShack or somewhere that offers free image hosting? Then you just Copy Image Location into your post with an img tag, and there it is!