Yes
In my set up, I used OEM front blinkers and as described, I simply used the blinker wires as originally used, but you have to make sure they're lighting the proper filament, so a small bit of testing is required to get the proper wires before you make your splice permanent. In your picture, it's hard to tell, but you should have a color tagged wire (orange one side left, blue the other-right) and the wire from the tail lamp. The ground is provided when you fasten the blinker stem back onto the frame. The brighter of the two filaments is the blinker. If you already have factory signals on the rear, the color codes or tags should be as described and located just forward of what you picture shows with bullit connectors joining them to the harness. Do you indeed have dual filament lamp bases?