Take a golf Mk4, put coil overs on it - if you really want to lower the car, so excuse the phrase - to put it on its arse, then yes, you can remove the ARB and run with out a problem. However... the MOT man (in the UK), will have issues with this. The car was designed with a ARB in place, and if the MOT man (or Woman) knows it should have one - it will fail its MOT. The other way is to cut the ARB and only have it going half way - so effectively, cutting the centre out. This allows additional lowering - but again the MOT man (or Woman) if they know there golfs, will again fail the car.
May I ask the OP - why are you asking? I am just trying to understand the thought behind your question or as to why you came to consider the theory.