I don’t have a garage on my house.  Is it safe to install a plug or power connector on the outside of my house?

Installing an outlet or EV charging equipment on the exterior of your house is completely safe.  Almost all EV power connectors are NEMA 3R rated.  This means that they can withstand wind, rain, snow, and ice without failing.  They are not submersible, however, so installing a power connector or EV outlet in a place that can be flooded is not advisable.