We have a client that has 2 network connections per PC.  Only 1
network card but 2 ip addresses.

Is it possible to have 1 static ip address on a card, and it get the
other IP address from a DHCP server pool?  If so, how?  Running
Windows OS.

first of all, the two network connections can't operate at the same
time.  If you want it that way you should get 2 network cards
installed in your PC.

Go to Network Connections and Create two new LAN connections.  Right
click on the icon (select one for the static IP) and then in
Properties.  Select the right protocol (usually TCP/IP) from your
network device and click the Properties button.  Enter the Static IP
to use in this netwok card.

Do the same to the other conection but you shouldn'n enter the IP
address statically, select the radio button where you get your address
suplied by your dhcp server.

the next link guides you to setup your network connection manually.
http://support.chartermi.net/support/pipeline/windows/winxp_network.html

As I told you before, only one connection can be active using only one
network card.

I hope it helps.
Phossil

This is not possible in Windows XP. WinXP allows multiple IP addresses
on one connection only if they are all static, OR it allows ONE
DHCP'ed IP address.

I have not checked this with Windows Server 2003 but I expect it is the same.