You can use /usr/sbin/ping to check whether you can connect to the network interface on another node. For example:
% ping hpc-node3
will test (over the default network) the connection to hpc-node3.
You can use /usr/sbin/spray to determine whether a node can handle significant network traffic. spray indicates the amount of dropped traffic. For example:
% spray -c 100 hpc-node3
sends 100 small packets to hpc-node3.