Sure. The only question is how long? Surely at least a few seconds.
I have a AMD 3500+ CPU with 1GB memory and 3 hard drives with 380 watt Antec
PSU. Plus 19 inch LCD monitor and also maybe 20 watts of fax machine and
network hub and router powered by UPS. An APC SU700NET UPS says this load is
40% of its 700VA rating. My batteries are old, but its calibration test keeps
it up 9 minutes before UPS shutdown. I think new batteries may help, but I
configure it as 2 minutes plus shutdown, to be certain it is usable.
Older AMD 1.1GHz CPU, 640MB, 2 drives, with 19 inch CRT monitor (and same
external load) was 5 minutes (instead of 9 minutes). Same UPS says this load
was 56% of its 700VA. The UPS was less usable with it, really wasnt enough to
do more than an immediate shutdown.
I really dont think the computer difference was much of a factor.
But an LCD display is like 40 watts instead of 120 watts for a CRT.