Or you could limit the number of pings you send by typing:
ping -c4 192.168.1.xxx
(replace the 4 with the number of ping requests you want to send, and put in the correct ip address, but I'm sure you've got that already!)
Many systems today turn on firewalls automatically. In that case they will simply not respond to pings unless you explicitly allow it. How to do that depends on the system, but if you have per-"application" rules, it may be called something like ICMP echo request or similar.