I will say no. Shape is a quality about dimensive quantity which is proper to body but not the spiritual. Two other related ideas are containment and that the soul is not the person but part of the person.
Also from St. Thomas Aquinas “Shape is a quality about quantity, since the notion of shape consists of fixing the bounds of magnitude.” - Sum.Th. Q78. A3.
He also covered thinking on angels and place. Angels are immortal pure spiritual beings. The human rational soul is spiritual.
I answer that, It is befitting an angel to be in a place; yet an angel and a body are said to be in a place in quite a different sense. A body is said to be in a place in such a way that it is applied to such place according to the contact of dimensive quantity; but there is no such quantity in the angels, for theirs is a virtual one. Consequently an angel is said to be in a corporeal place by application of the angelic power in any manner whatever to any place.
Accordingly there is no need for saying that an angel can be deemed commensurate with a place, or that he occupies a space in the continuous; for this is proper to a located body which is endowed with dimensive quantity. In similar fashion it is not necessary on this account for the angel to be contained by a place; because an incorporeal substance virtually contains the thing with which it comes into contact, and is not contained by it: for the soul is in the body as containing it, not as contained by it. In the same way an angel is said to be in a place which is corporeal, not as the thing contained, but as somehow containing it.
newadvent.org/summa/1052.htm
St. Thomas Aquinas, in Summa Theologica, Supplement, Q75** The Resurrection **wrote:
Article 1. Whether there is to be a resurrection of the body?
**Objection 2. **Further, Our Lord proves the resurrection by quoting the words: “I am the God of Abraham, and the God of Isaac, and the God of Jacob. He is not the God of the dead but of the living” (Matthew 22:32; Exodus 3:6). But it is clear that when those words were uttered, Abraham, Isaac, and Jacob lived not in body, but only in the soul. Therefore there will be no resurrection of bodies but only of souls.
Reply to Objection 2. Abraham’s soul, properly speaking, is not Abraham himself, but a part of him (and the same as regards the others). Hence life in Abraham’s soul does not suffice to make Abraham a living being, or to make the God of Abraham the God of a living man. But there needs to be life in the whole composite, i.e. the soul and body: and although this life were not actually when these words were uttered, it was in each part as ordained to the resurrection. Wherefore our Lord proves the resurrection with the greatest subtlety and efficacy.
newadvent.org/summa/5075.htm