If you are using both IPs on the same LAN they should be on the same subnet ex: 11.1.1.1/24 can ping 11.1.1.44/24 but it can't ping 11.1.2.2/24 ( different subnets)
In WAN not necessary, for example 192.168.1.1 can ping 72.1.1.1 ,, but 72.1.1.1 can't ping 192.168.1.1 because this ip is private and when it leaves the LAN it becomes real ip because of NAT (Network Address Translation)