Maybe.. Maybe not. Maybe not 10 000 years ago but less than 2000 years ago, when this site was constructed, they sure could. As this site is evidence of.
While the site itself is above the natural tree line there are forests closer than the 100 km some of the stone traveled. There are also no trees in Egypt but wood was used there. Most of the blocks at puma punka have rope holes or groves cut in them just for aiding in moving the blocks. ALL of the blocks have marks, on at least one side, from the blocks being dragged.