Presumably not (I assume so, since the hardware doesn't show up under its proper category). I would first try extracting contents from the DELL installer. Maybe the thing is trying to install the wrong driver, but you can work around this if you can extract the contents. Windows NT drivers are mostly a SYS and an INF file combination (though some contain additional firmware and stuff), so you'd point the find driver wizard to the XP version of those (i.e. the directory in which they are located once you've extracted the contents of the installer) and cross fingers.

Another option is trying drivers from an alternative source, DELL doesn't make its hardware itself so maybe the manufacturer of the hardware has more up to date drivers or older ones (if XP is no longer supported). You can use the various driver info panels (together with Google) to figure out what exact piece of kit this ethernet controller is, alternatively it might be listed if you run ipconfig /a at a cmd prompt.