Interesting question. I have wondered in the past if the pump packed in when on a foreign tour, if I could carry on. (95% of the things I worry about never happen. The other 5% was a puncture, twice!). I think as long as the pump is removed from the system it would be o.k., but as BBROWN implies the fuel flow might not be up to using full power and maybe a danger of running weak. I would think the pump would have to be bye passed because of the one way valves in it. There are plenty of bikes with similar carbs that don't have a fuel pump. Maybe the pump is only there as a safety feature rather than the vacuum operated tap set up that is on some bikes. Just my thoughts.