The question posed came about during a 2nd Year Comp Science lecture while discussing the impossibility of generating numbers in a deterministic computational device.
Th
No.
Unplug the network cable (or /etc/init.d/networking stop) and the entropy basically drops to zero.
/etc/init.d/networking stop
Perform a Denial-Of-Service attack on the machine it's pinging and you also get predictable results (the ping-timeout value)