It's possible but unlikely to be a fault with the computer, or the mouse for that matter. What surface are you using it on? I believe they all say that you can use it on any surface, but in my experience this often leads to similar problems that you've been having. Try a proper mousemat if you're not using one, and see how it works.
Otherwise is the cable getting snagged at all? The mouse could be quite sensitive and simply reacting to the vibrations of you typing on a keyboard for instance.
Anyway there's a few things it could be, but start with a mousemat and a flat surface and leave the device for 5 minutes and see if it does anything.