Can I wash dishes with my Apple Watch

Bad idea. The soaps will damage the seals keeping the Apple Watch water resistant

About Apple Watch water resistance - Apple Support

Maybe strap it to your ankle during work, if you want to get stand, movement, exercise credit during work. Although it will be funny looking at your ankle to view messages, check the time, weather, etc... 😁

BobHarris might be right about that, depending on which series of watch that you own. If I recall, there is an excellent article about water resistance in the Watch App. I don't wash many dishes, even at home. I do wear it in the shower and the article mentioned not wearing it in the hot tub, as the water is too hot.

Neal