If the wires are molded into the hood, probably not. However, crimp-on DB25 ends of various styles are readily available and cheap. Something like this. Basically, you use a special tool to just smash the wire down into the groove. Really simple, and you could make it quite a bit flatter than a hooded cable.
Yeah, I've seen DB25 IDC (insulation displacement connectors) and these would be perfect. Solder cups would work also, but I hate soldering.
Problem is I need 4 of them and at $3 each, with shipping, this adds $20 to the project. If I can find them at Radio Shack, or I can order them when I order my wire and spade connectors, I'll probably pick some up.
OTOH, I mangled a DB25 to DB9 adapter last night (an old one with about 6 inches of cable between the two ends) with fairly good results.
Before I started, the cable required about 2.5 inches of back depth. I cut the hooded shield off the cable and found the wires wrapped in foil and embedded in some kind of plastic/wax underneath the hood. However, with the hood removed, the connector only required 1.25 inches of back depth.
I'll probably order an extra DB25 cable for testing if I don't use the IDC or solder cup connectors.