I really couldn't come up with a better title... Anyways,

This morning I suddenly woke up from a noise outside and was unable to move, because my body was still paralysed.

I was wondering if it is possible to use this to get into a lucid dream, like you would when you try to WILD.

At first I thought that this would be possible, because when you try to WILD you first get into sleep paralysis.
But on the other hand, when you wake up you just got out of a REM stage.

So is it possible to get into a lucid dream directly after waking up with sleep paralysis?