Network Configuration

Yes, if they are on the same network and are both vuelnrable to that particular virus then it is quite possible.There was a worm a few years back that spread like crazy, it would hit a business and then infect every PC in the building and then spread on to other businesses like wildfire.Basically those types of worms are designed to spread as far and infect as many computers as they can. Their primal instinct' if you will is to search for as many computers on the network as possible and just keep spreading like there's no tomorrow.