There are ways to alleviate the need for batteries, although without a powerful source of energy it would be rather moot - Wireless Electricity. It could lift some burden from the batteries, still without an extremely powerful source it would be more or less moot.
An electric field strong enough to supply the power needs of an electric vehicle would fry any pedestrians that happened to pass by. Wireless electricity is only practical for low power applications, where the field strength is harmless to humans.
Are you sure about that I do know that under right frequency Electric Field of over 10000V can be harmless, it's only the low frequency AC that really kills humans. Higher frequency is transmitted over the skin.