No, photosynthesis does not occur in all living plant cells. It is primarily restricted to cells containing chloroplasts, the organelles responsible for capturing light energy and converting it into chemical energy.

Here's why:

* Chloroplasts: These organelles are the site of photosynthesis. They contain chlorophyll, the pigment that absorbs light energy.

* Not all cells have chloroplasts: While plant cells are generally considered to have chloroplasts, there are exceptions. Root cells, for example, are typically underground and do not have chloroplasts because they are not exposed to sunlight. Similarly, cells in the interior of a plant might not have chloroplasts.

Therefore, photosynthesis primarily occurs in plant cells that contain chloroplasts and are exposed to sunlight.