Well, you should be able to.
I mean, only way to find out. Man not having a display on that thing really sucks. Hard to believe some of these commercial NAS devices don't have an HDMI, or even VGA port. Even if you issue a command to restart your networking, it will have the same net result as restarting... and you'll still be locked out of the device essentially.
I'm still thinking this is a weird issue w/ your switch and/or router