Ive found that after a certain period of time your hand will learn to use different parts of itself for muting those offensive notes. I use my right and left hands for this, or sometimes ill finger a note so another unused finger rests against a string or two-Muting those notes before they even have a chance to ring out. I never really payed attention to this, it just started happenning one day. But there are a number of ways, and yes, it IS possible.