oh yes it does - the simplest method is to enable ics on the pc with the internet connection and then go to the second pc and in the network properties click on manually set the ip address. Once set go to the main pc and add the ip address to the trusted list. If you need further help come back.
My own experience was that ZA did not support ICS in the free edition and I have to admit, it's some time ago since I used that version. Indeed, at one point ZA stated ICS was not supported. Personally, I never achieved setting it up in the free edition, but had no bother in the Pro version.
click here for some screen shots on how to do it. The only caveat, is whether you have the "Advanced" settings button in the free edition.
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