Not likley. Your InFocus In24 can display a maximum resolution of 800x600 so even if you were able to get a HD signal through the best you could hope for would be 720x480 (480p). 720p requires 1280x720.
A quick search here at PS3News would have also revealed HDFury which has been announced and discussed before here on the forums. See http://www.ps3news.com/forums/site-n...sed-70834.html
Supporting 720p through the Fury on your rig however is also unlikely, at best you would lose some of the picture on left/right side (cropped) at worst you won't get a picture at all.
I'd try and exchange/trade-in the In24 for a proper HD projector, you have a PS3 which is capable of 1080p output, thats 1920x1080, just think of the detail you are missing in some games and most BR movies.