It's unlikely.
What that cable is for is something like a projector that has the ability to receive component signals through a VGA port.
If your computer is unable to send component video over the pins of its video port then this will likely to be useless.
However, it is possible that you could receive RGsB (sync on green) video over that cable. That's IF your computer can send the right signal over the right pins, which it probably can't.
Then you will have to deal with the SCART adapter. It is designed for a component signal, and a TV that can recieve component video over a SCART connector. Most old SCART tv's cannot do this. I live in North America so I can't speak on the new ones. I would say they can, but it's really a useless point since they will have RGB over the SCART connector and that' s what you want.
Additionally, you would need to find a way to provide sync to the SCART display. I believe you would be able to split the green sync video to this purpose.
Component video is not the same as RGB video, I encourage you to read about the differences.