Man, I don't want to seem harsh, but why do people always post questions like this AFTER they buy the anemone??
Yes - anemones are mobile critters. They can sting and can kill your corals. Period. Some corals seems to fare better than others, but if your anemones wants to do a dance on the zoas it will probably win. Zoas are tough and may survived, but maybe not. This is a consideration that should have been carefully made before putting the animals together.