It depends on the size of the ab and of the stomatopod, but the answer is a definite yes. If you are talking about a 2 inch tropical ab such as the ones sold for "clean-up", O. scyllarus love them. At about $20 each, they are expensive food. I know because one of my O s. broke through a plastic egg crated partition and ate three. Even a 3 inch G. chiragra has no problem dealing with an ab this size.
Even big abalone are not immune. We occasionally find abalone shell outside Hemisquilla burrows. A 9 inch Hemisquilla can easily handle a 4 inch ab.
Roy