Are there healthy and natural cures for arrhythmias?

It depends. Many arrhythmias are very serious and should only be treated by going to a physician for evaluation and appropriate treatment. However, nutrients that may stabilize the heart and prevent arrythmia are magnesium, coenzyme q10, taurine and l-carnitine.
It depends. Many patients experience palpitations that are from premature heart beats arising in either the upper or lower chamber of the heart. Often these symptoms can be improved by eliminating stimulants (primarily caffiene) from the diet. There are animal studies suggesting a benefit from herbal medications for arrhythmias, but no properly controlled trials in humans to prove a benefit.