I hooked up an external firewire drive to my iMac and it did not show up on the desk top. I thought that all firewire unit are recognize as soon as it is plugged in? Did my firewire inputs on the iMac burn out on the mother board?
Is the drive formatted as a Mac volume, or is it brand new? Does the drive name show up if you open Disk Utility?
Is the drive turned on? Do you hear the drive and fan spinning up in the enclosure?
Had it previously worked on a Mac?
Do you know the FW cable is good? Have you tried another cable?
Have you powered down both the Mac and the drive and then started up again?
To answer the question -- we have no way of knowing if the FW port in your machine is burnt out.
This is possible to do if you plug FW cables in while the machine is running. If you plug in the cable cockeyed or upside down (yes I know you're not supposed to be able to, but it does with just a little force) then the power lines can short across the data lines, and fry the FW circuit.