It can, but it is not the main cause. Most of the causes are related to inner ear problems, or the cerebellum.
Just to add, I assume dizziness is what you mean?
Your actual balance control is in your inner ear, the semi circular canals which are full of fluid and are both vertical and horizontal. The fluid moves with your motion and is affected by gravity. As the fluid moves it gives the brain a perspective to your orientation.
However, our brains also come to rely on eyesight for a backup, as though the brain doesn't quite believe the canals totally. As an example, stand on one leg with your eyes open. Now do the same with your eyes closed.
Most causes of balance problems are inner ear infections.
Well, without going into so many possibilites, I will just say yes. However, a couple of simple tests on the heart will prove if this is the cause or not.
Most dizziness is not caused by the heart.