Yes is the most straightforward answer to this question. With the right charging configuration and charging strategy, it's safe to leave a Tesla plugged in overnight.
Tesla has charging options for both home and public use. If you leave these chargers plugged in overnight, there is no risk of overcharging or hurting your car's battery.
In reality, charging your Tesla car's battery overnight is a great way to make it last longer.
Most public chargers, though, will limit how much power you can take from the grid to keep you from doing any harm.
To keep from putting too much stress on the infrastructure for charging, you should only use them when you need to.
In the end, the best way to get the most out of your charging setup and charge times is to use a Tesla wall connector and a custom charger.