Has a propellor driven aircraft ever shot down a jet fighter?

The first jet ever shot down was on 5 October 1944 by 5 (4 Canadians & 1 American) members of 401 Sq. RCAF. Their names are: Tex Davenport, Rod Smith, Snooks Everard, George Sinclair & John MacKay (more can be found on these 5 @ acesofww2.com). Their victim was H. C. Butman of 3/KG51 flying Me262 MNR 170093. Many more German Jets were shot down by Allied propellor driven fighters after that... as well as by gunners on board propeller driven bombers too, come to think of it.

Yes. In 1965 and 1966 Navy A-1 Skyraiders shot down North Vietnamese MiG-17s.