Sniffing on Wireless Network

I have connected to a wifi which has restricted internet...I'm connected to the wifi but i don't have internet access.As they use static ip!.But when i have connected i was given an ip by the router.But remember that i have no internet access.They use some alternate ip as their default gateway and preferred dns as the same!.My question is whether i can sniff from the other hosts connected to the network but they are having internet access.Is it possible?