Folding yes, Feathering not. Unless they are made of a flat piece of bronze. If they're cupped at all they can and some will (mine include) begin to turn. My auto prop will spin like crazy if I'm sailing anywhere up of say 5 kts. I have a shaft brake and it works well. Stops it exactly where it will be less drag and only two blades are then visible to the water stream.
Go Slow
Sail Far
Stay Long