No, static pressure is the pressure when water is not flowing, or in a 'static' state.
Most often, both are used with respect to fire flow. Fire flow is a large, instantaneous demand which greatly affects residual. Static pressure is, in that case, not truly in a static state, there is normal domestic demand. It just implies there are no fire hydrants, sprinklers, etc opened.
Engineering is the practice of the art of science - Steve