Yes you can just plumb together what you have to get it going. But be very careful since what you describe is most likely dangerous in a panic stop or on a wet road.

If the brake system isn't properly designed then it isn't going to work very well under panic stop situations. It will work just fine for normal driving but if a semi truck pulls out in front of you when you're going 90 mph on a back road then that might be the last we'll hear of you.