Are there cures for congestive heart failure?

Control but no cure. Over a period of 15 years or so, various new treatments have been introduced which have led to a much improved outlook for people with heart failure. http://patient.info/health/heart-failure-leaflet.
Good Tx: Yes; Cures? Since most common cause atherosclerosis > coronary artery disease (even if lumens ok on angiography) > reduced blood flow ; heart muscle damage, aggressive treating factors driving atherosclerosis [lipoproteins (not cholesterol) blood sugar, bp, etc. (to abnormally healthy levels], remove excess body water, keep BP low nl, treat with acei (aceon (perindopril) 1 of best) ; carvedilol, can greatly improve/reverse.
Depends. There are many causes of congestive heart failure (chf). Some, like a viral cause or peripartum cardiomyopathy may reverse themselves once the offending agent is no longer present. Some, like an alcohol induced cause may reverse if a person abstains some like an ischemic or valvular cause may get partly better if blood flow is restored or the valve fixed. Some do not respond to any treatment.