Yes. This name "God" need not always stand for the essence it signifies because it agrees with singular terms as regards the form signified not being multiplied; nevertheless it agrees also with general terms so far as the form signified is to be found in several "supposita."
This word "God" sometimes stands for the essence, as when we say "God creates"; because this predicate is attributed to the subject by reason of the form signified--that is, Godhead.
But sometimes it stands for the person, either for only one, as when we say, "God begets," or for two, as when we say, "God spirates"; or for three, as when it is said: "To the King of ages, immortal, invisible, the only God," etc. (1 Timothy 1:17).