Nope. An aquarium stand should not wobble at all! Having said that. I was given an aqueon particle board stand that sits under my 29 gal
reef tank. It wobbles side to side. I hold it while I scrape the glass. If it were not an intricately placed reef structure I would have drained the tank and junked the stand, unneeded worry. I build my own stands, I was a fool for using this one.