You should be alright anyway. I wouldn't worry too much.
I haven't myself heard of anyone breaking their computer because they didn't think about protection, but it can happen.
If you have a wristband, use it. If you don't, and can't get hold of one, earth yourself using other methods.
Radiator, etc. Anything thats earthed to the ground.
Heck, if you plug your computer in, and touch the case, that'll earth you, but I wouldn't advise doing that while working, since current will most likely be going through the motherboard.
You'll be fine.