sure... one way to determine the IP address of your computer is:
Win9x: run WINIPCFG
NT/2K/XP: open a Command prompt, then IPCONFIG
After you have the IP addresses... at the command prompt type PING 192.168.1.1 (substitute 192.168.1.1 with the other computer/device's IP address). You should get something like Reply from... meaning it was successful or a Request timed out meaning it wasn't successful.
If you can successfully PING and get a reply (even if just one way) then the basic cabling and IP addressing is correct.
If you can only get a reply from computerA pinging computerB but not computerB pinging computerA the basics are still okay but there may be a firewall or filtering problem.