You asked a question; I gave you the answer. I'm not trying to argue, just to give you the reason a Catholic should not receive in a Protestant church or vice versa.
Just to pick a slight nit, when I was Episcopal/Anglican (high), I firmly believed in the real presence of Christ in the Eucharist, but did not (necessarily) believe the Roman Catholic doctrine of transubstantiation.
Transubstantiation is an attempt to explain a profound mystery using scholastic reasoning.
Now that I am Orthodox, I still do not necessarily believe the Roman Catholic doctrine of transubstantiation. Transubstantiation does not automatically equate with "real presence." I don't know how the elements become the real body and blood of Our Lord; all I know is that they do.