Unfortunately not.. As whatever OS the machine shipped with could have be easily upgraded once or twice or more in 5-6 years
A safe bet, would be to order a snow leaopard install disk. As the machine can definitely run snow leopard.. And then you can upgrade to mountain lion for 20$, or yosemite for free. ( 10.10 )
You can get the install disk here. http://amzn.to/1Pvfoet
Then all you would have to do is insert the disk.. hold down the C key, start the computer.
And then choose to install mac osx.. the disk does the rest.. This will repair the boot file issues you are having.
Once installed, you can then visit the apple site and pay for a mountain lion upgrade, or go with the free yosemite upgrade. ( yosemite is newer )
If we knew the exact os you had we could just repair your current install.. But theres no sure way of knowing and it could be one of 5 possible os versions, and we dont want to have to buy 5 different disks~
If you have further questions let me know. And when you get the disk, Id be more then happy to help you use it to install Mac osx and get the mac running should you run into any issues.
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Senior Technician and Network Switching Systems Operator / Maintainer.