I don't believe there is a relation, but one never knows. The body tics you describe are known as fasciculations. Most of the causes of fasciculations are benign. It seems like stress can be a big factor in fasciculations and heart flutters as well (I'm assuming it's PVCs or PACs you're talking about). Stimulants, such as caffeine, may play a factor in both.
Though, ultimately, the actual cause of fasciculations and heart flutters is not likely to be directly related, certainly they seem to have certain triggering events in common.
If you have not been evaluated for the heart flutters, it's best to consult a doctor. If the fasciculations bother you, mention them to your family doctor.