Pilot reported a NMAC with another aircraft while on approach in IFR conditions to a non-towered airport.

Narrative

IFR flight plan was filed from ZZZ to GRD. I was cleared for the 09 GPS approach GRD at 900 feet I got ground contact; a local school; at 800 feet I seen the runway environment. I attempted to call Greer [approach] with no response. My altitude was too low it was at this point when I got a traffic alert on my 500 TXI and GTN 750 GPS. I turned off the auto pilot and took control of the aircraft at 600 AGL I seen an aircraft. Coming directly towards. me estimated range 1 mile we both broke right I elected to clime; stay visually clear and in ground contact; circle to land; Runway 27 which was uneventful. Rechecking the AWOS upon landing. Current conditions; broken 600 feet winds variable at four. Upon landing; I spoke with two local pilots; one who completed an approach just before me. He seen the airplane taxi out for departure and attempted to call him on UNICOM to warn him of the other approaching aircraft. He was not able to get in contact with the pilot of the departing aircraft. The aircraft that departed without proper ATC clearance jeopardize safety! A call to Greer [approach] confirmed he did not have IFR clearance for departure.