In short no, this question has been posed many times. Grey water (as it's called) must be discharged to a suitable treatment system (i.e. to a treatment plant via public sewer or to a septic tank or other approved treatment system). Such grey water will contain detergents, phosphates and the like which would find their way into the water table, unless properly treated. Untreated effluent that enters the water table can enter your (or someone else's) water supply, particularly when water is drawn from a bored well.