Theoretically yes, but that requires you have an old meter. Anything installed since ~2010 is either digital or at least has a mechanical blockage that stops it from running backwards. I think there is even a plan to update every single household to a digital one in the next few years

A small balcony unit is unlikely to surpass the electricity demand of the household. If it doesn't, your meter would never be "asked" to run backwards.

Mine often does as I'm not at home during peak hours. Around 1pm I get about 200W currently and the only things running is my router and a tiny home server, and occasionally the fridge kicks in at about 100W. I could have installed about twice as many panels, but why should I?

I already schedule my washing machine to run around that time, but that's like once a week, and the dish washer every two to three days.