I dont see why not.
We mostly think of the body as static. A collagen cell will just sit in the same spot in the body with the same neighbors until they die and are replaced. The reality is much more complex and absolutely not static.
Cells move around. For fistulas (don’t look that up) they can move aside to create holes to get rid of pus and detritus. They can move to try and close wounds and in some cases even migrate through the body to other places on purpose (although more commonly by accident which is another reason why aggressive tumors are so nasty).
But your purpose is to create specific organs in the body in specific places. So what you need is a cell that can trick surrounding cells to move aside to let it pass, this cell uses the local hormones, cell proteïnes and cell waste material to determine where it is in the body and then plant itself to create its organ.
As an alternative you could create a white blood cell lookalike with virus elements. It can fully move through the body between the cells until it identifies a spot where it wants to create an organ, there it attaches itself to a body where it first inserts something like Destroying Angel, which is a substance that destroys DNA, then inserts its own DNA. To make this easier there are cells which can merge their entire cell core with the DNA inside with that of another cell, meaning you don't need to get your own DNA in the now vacant cell core.
Its not possible today, but the elements required to do it absolutely exist. If they are mutually exclusive if you were to program them into a cell is impossible to tell right now. So it could be possible.