on a prebuilt system it's difficult to find specs on physical aspects inside of the PC case, like the total length available for the GPU to fit inside.
but, we can look up the 760, which is about 12 inches long, the 1060s are around 11-13 depending on your choice of card. So it will probably fit. You could take the side panel off of the PC and just check with a measuring tape from backplate of PC to how far the spacing is free where the card sits to the front of the PC case (from back to front available space, where the GPU sits).
also, in a couple of months the new line of nVidia cards are coming. you might want to wait or not, just letting you know