a C-clamp may not give you enough oomph to get it drawn in. Hopefully you have an air impact wrench. Put a few big washers over the stud then use a spare lug nut and draw it up with the impact wrench. Remove the nut and washers and you're good to go
Also, concerning if there is enough space to pull the stud out the back of the hub or not, usually the backing plate/flange area is shaped with an area where you can rotate the axle hub around to where the stud will line up to that area and allow you clearance