No, JJ2 only supports 640x480 and below, and the video modes and functions are determined by the JJ2 code, not the drivers. There ARE some ways to work around this by fooling around with the registry, but I wouldn't recommend it. Using windowed mode is decent enough.

(Sidenote: What I mean technically is that you can't go any higher than 640x480 in JJ2 within window sizes, NOT that you can't play JJ2 if your desktop resolution is higher than 640x480. If you're running a high resolution, it would be somewhat hard to see the JJ2 window in full detail in windowed mode, but not too much. I like to maximize the window to fit the desktop to see better, but it runs a little slower and the overall view is scaled without graphics interpolation in which what makes the graphics a little messy looking. The 'scaling' problem looks a lot better in 640x400, though. It also seems to unmaximize itself upon starting a new level or joining a different server. Oh well. AGP acceleration, anyone?)