Alienware Stylus Compatibility

If you mean a pressure-sensitive writing/drawing stylus (what Dell calls an Active Pen), no.

If the system has a touchscreen, a capacitive stylus can be used in place of your finger -- but for pointing/clicking;  don't expect to be doing any precision writing (the fact that the systems are all clamshell devices without multi-position hinges makes them unsuitable for tablet use just by virtue of design, never mind the lack of screen support).

I don't think you're going to find any active-screen gaming systems that will support an active stylus from anyone.