Again, yes, it will work, but you are already losing 70% of your energy just to power the ram pump, and you are doing that just to convert flow to head.
Instead of altering the flow characteristic, just use a micro-hydro that is designed to use the water source you already have.
As for the question of building a chamber around the spring and using that to lift the water, this will work dependant on what "drives" the spring. Springs are (usually)
underground aquifers which leak out to atmosphere through cracks in the rock. There are, however, some springs that come out of the ground at tremendous pressure (think Artesian), where you could allow the spring's pressure to push water upwards (or simply tap into the pressurrized water coming out of the ground). If you have a "trickler", however, I doubt you could get anything out of it.