May I suggest you go and look at the Exodus where God told Moses, I won't go with you but I will send an angel.
Exo 33:1 And the LORD said unto Moses, Depart, and go up hence, thou and the people which thou hast brought up out of the land of Egypt, unto the land which I sware unto Abraham, to Isaac, and to Jacob, saying, Unto thy seed will I give it:
Exo 33:2 And I will send an angel before thee; and I will drive out the Canaanite, the Amorite, and the Hittite, and the Perizzite, the Hivite, and the Jebusite:
Exo 33:3 Unto a land flowing with milk and honey: for I will not go up in the midst of thee; for thou art a stiffnecked people: lest I consume thee in the way.
Then Moses pleaded with him saying, if you won't go, I won't go. So God relented and said, "I will go."
Exo 33:12 And Moses said unto the LORD, See, thou sayest unto me, Bring up this people: and thou hast not let me know whom thou wilt send with me. Yet thou hast said, I know thee by name, and thou hast also found grace in my sight.
Exo 33:13 Now therefore, I pray thee, if I have found grace in thy sight, shew me now thy way, that I may know thee, that I may find grace in thy sight: and consider that this nation is thy people.
Exo 33:14 And he said, My presence shall go with thee, and I will give thee rest.
Exo 33:15 And he said unto him, If thy presence go not with me, carry us not up hence.
Exo 33:16 For wherein shall it be known here that I and thy people have found grace in thy sight? is it not in that thou goest with us? so shall we be separated, I and thy people, from all the people that are upon the face of the earth.
Exo 33:17 And the LORD said unto Moses, I will do this thing also that thou hast spoken: for thou hast found grace in my sight, and I know thee by name.
The point I wish to make here is that the prayer you quoted is not referring to God's inability to possess, for if he puts a part of him inside it is still God on the inside. I don't think you can establish a sound doctrine on that text alone. You will have to have something more substantial.