Yes, I carry hand sanitizer in the car, too. Some hand lotion will seal the pores a little after drying the hands and wrists out, by the way. ...a little prophylactic protection there. I like the more neutral, non-stinky stuff.
Everyone should add a few drops of oregano oil into their hand sanitizers in the car or pocket. It has been scientifically proven to kill coronavirus. I read the studies online a week ago but now they are scrubbed by google.