I personally don't think t here's any real risk to just going out for a drive. I suppose technically, unless your going out for food, or something 'essential' , you'd be violating the stay home edicts. ( if you live in a area where they are active ).
I do know from personal experience, that... well my car would not start when I got ready to leave Sam's Club, my first thought was... I wonder who has jumper cables, then I wondered if I should even ask someone for a jump. Eventually the cart gathering person came out near me, and I asked if the Automotive was open or not ( they had signs saying it was closed ). He told me they are available for emergencies. My battery was bought at Sam's like 11 months ago, the tested it and were going to replace it for me, but it just happened that their computer system was completely down. So, they eventually jumped my car for me, and I got home.
My point... I think to some degree , driving around locally, just to get out of the house, is not a horrible thing. You can always 'need' a loaf of bread or something anyway. Just be aware that sooner or later, something unexpected could happen, like your battery going dead.
Anyway, I personally would not have a problem going for a short drive for 'fun'.