Hello!
Yes, you can, but good luck! The multiplayer of Dungeon Keeper Gold works either under IPX, Modem or Null Modem Cable, all of which are outdated today. You can play the multiplayer mode of the Dos version of Dungeon Keeper under Dosbox by enabling IPX, but computers have to be in the same room. You can use softwares to allow playing Dosbox IPX through TCP/IP but I haven't really tried it. Be warned though that the game may be very laggy.
If you have Windows XP, the IPX protocol can still be installed too. You can then play the multiplayer mode of the windows version if configured properly.
Other than that, if you don't have very old computers connected together, then no. I'm sorry, you can't. TCP/IP of KeeperFX is your best alternative.