I would think it's the angle of the spoke at the rim that would be the issue. The diameter of a front hub is much smaller than that of a rear hub. Long story short, the holes on the 19 rim are drilled with less of an angle - they are closer to being perpendicular with the rim that that of your 18" rim. However, the rear hub is actually skinner than the front, which will help out a little - the spokes won't bind on the hub. It would result in a weaker wheel than the original.
Can it be laced up? Yes. However, you will find that the nipple will want to bind at the hole in the rim. One side of nipple will have more pressure on it than the other side. It will be noticeable. That might make it a bit more difficult to true, and I'd think it would try to bend the spoke a little there.
Since it sounds like this bike is more for aesthetics, you can probably get away with it. But I'd definitely keep an eye on it if you decide to give it go.