They are not related. The smog pump feeds clean air into your exhaust stream so that the cats have enough oxygen to run hot and burn off polution. If you don't have cats, your smog pump is running for no reason. If you do have cats, and remove the smog pump, it is possible that your cats clog up due to lack of oxygen/heat. The EGR is totally internal plumbing, except for the water lines going into the TB adapter. All you see is the lines, and the valve on the adapter (and wires of course). With the smog system, 99% of the system is external to the engine.