If you cut them off for a while that may be the very thing that pushes them to accept your independence. You don't owe them anything. They made the choice to bring you into this world of their own volition not the other way around. You are your own person and you can live your own life. If they use guilt to make you do what they want they are using you and that is not healthy. They are your parents but they are not your keepers. They do not own you and you should live your life the best way possible with them or without them if you must.