Electric vehicle charging itself is, generally speaking, very safe. If the charger has been installed correctly and is working properly, the chance of having any kind of safety-related problem is very small. But that only accounts for the mechanical and electrical safety issues, what about the human element?
However, when an EV is plugged in and charging, it cannot be placed into gear and driven off, the vehicle won't allow it. That could impede your ability to make a quick getaway when you're parked. But a new product called EVject is changing that.
