I wouldn't do it. You're still eating juices and fat from the animal, even if you're not eating visible chunks of meat. You're still eating parts of the animal's flesh.
To answer your question the most simply, just substitute something else that you wouldn't want to eat for the usual meat. Let's go with rabbit poo.
"Does only eating vegs (a dish cooked with rabbit poo as well)= not eating rabbit poo?
Is it okay to eat only the vegetables, but not touch the rabbit poo (cooked in the same dish) and still consider yourself a non-poo-eater?
A family member loves to cook soup using rabbit poo. Of course, she adds in other ingredients as well. If I don't touch the poo or drink the broth, but eat only the other ingredients, can I still say that I don't eat feces?"
I fully realize that this example is gross and I'm not trying to compare meat with poo; I just am choosing an unappealing item to illustrate my point that you don't need to eat chunks of something to take it into your body. You could substitute lumps of butter, lumps of coal, eggs, insects, chocolate kisses, peppers, onions, noodles... it doesn't matter. If a dish is cooked with an ingredient, that ingredient will permeate the whole dish. The soup/sauce/whatever is not going to be suitable with anyone who has a dietary restriction that disallows any one of the ingredients.
If you're working on the transition it might be your best bet for the time being, but it really isn't vegetarian. It could be a good stepping stone for you, though, while you adjust.