Can I move the location of the well equipment?
It is likely there is a pressure tank in the hole also. Depending on the well depth their could also be a surface pump (shallow well) and there should be a local disconnect. It is possible to move everything But because there is a slab the cost is going to be higher. If you just don't like the cover you will still need the well head to be accessible but from the photo it could be ~1/3 the size. It would be a good idea to know what is in the hole.