if i was to run a computer on a outlet with no ground could it do any damage
potentially yes. Electrical devices, especially computers should be grounded. Static charges are the #1 cause of data corruption and circuit card failure.
A cheap ground is run a cable from the case of your computer to a cold water pipe in the house.
It could do damage, but then again, about 50% of this country is with ungrounded outlets. And we do run computers here And I have never heard of anyone having problems with grounding.
Mind you, the water pipe may not be metal all the way to the ground. And even if the computer is grounded, you are not and static is still a problem.
Also, the bulk of your computer is so big that discharging static into the case will not damage anything. Just remember to touch the computer case before any components inside.