Yes you can. But I don't advise it.
The reason is that remote desktop programs work by monitoring the screen and only sending areas which have changed. This has the advantage of reduced need for network bandwidth and less latency. However most window managers provide notification only on a control level (a control is usually defined as a rectangular area which has its own window handle or equivalent, for example a button, an edit control, etc.), because that's the abstraction level they work on. Usually the flow of things in a GUI system goes like this:
- The GUI subsystem figures that a portion of the desktop needs
- It then creates a list of controls that need to do the redraw by
intersecting the area occupied by the control with the area that
needs to be redrawn, taking into account the spacial order of the
controls (which is behind which).
- Finally it transmits a message to the controls which need to be
redrawn with the exact area they need to draw
Imagine the waterfall effect as each redraw is sent up through the chain. Each new remote session will ultimately be slower than the last, until you reach a point where the current session is effectively unusable.