you could try as you suggested, expanding the width of the DB Window, but if you mean can you have 2 seperate windows then no, Darkbasic will only allow you to have the 1 output window.
If you have something like BlueGui, Then you may be able to get around this by applying a camera to an image, and texturing a panel with that image in a separate BlueGui Window, but that would probably give you a very slow FPS, But that way you would have 2 graphical windows which is what i think you mean.
Edit: You could also set the DBWindow to double width, then create a second camera, you resize the origional camera, (Cam Num \ View Port 0) to the left side, and resize Cam Num 2 to the Right Side, that would work giving you 2 different camera views on separate monitors, This would also give a better FPS than the BlueGui Idea, and be easier to do.